GCF of 14 and 21 - What is the GCF (Greatest Common Factor)? (Answer: 7)

Exact Answer

GCF(14, 21) = 7

GCF (Greatest Common Factor)

LCM (Least Common Multiple)

Product (A × B)

294

Reduced Ratio

2 : 3

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Step-by-Step Solution: GCF(14, 21) = 7

Step 1

List the Factors of 14 and 21

• Factors of 14: 1, 2, 7, 14
• Factors of 21: 1, 3, 7, 21
The largest factor they share in common is 7.

GCF(14, 21) = 7

Step 2

Calculate the Least Common Multiple (LCM)

Use the relationship LCM(a, b) = (a × b) ÷ GCF(a, b): (14 × 21) ÷ 7 = 42.

LCM(14, 21) = (14 × 21) / 7 = 42

Summary & Alternative Representations

Property / Format	Value
GCF (Greatest Common Factor)	`7`
LCM (Least Common Multiple)	`42`
Product (A × B)	`294`
Reduced Ratio	`2 : 3`

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Frequently Asked Questions

What is the GCF of 14 and 21?

The Greatest Common Factor (GCF) of 14 and 21 is 7.

What is the LCM of 14 and 21?

The Least Common Multiple (LCM) of 14 and 21 is 42.