GCF (HCF) of 22 and 42
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What is the Greatest Common Divisor of 22 and 42?
Answer
GCF (HCF) of 22 and 42 is
2
Common factors: 1, 2
2 divides both: 22 ÷ 2 = 11, 42 ÷ 2 = 21 — and 11 and 21 share no factor but 1, so no larger number divides both.
22 = 2 × 11
42 = 2 × 3 × 7
| Prime | 22 | 42 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | — | 3 | — |
| 7 | — | 7 | — |
| 11 | 11 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
GCF Table
FAQ
What is the Greatest Common Divisor of 22 and 42?
GCF (HCF) of 22 and 42 is 2
How to find the GCF of 22 and 42?
You can find the GCF of 22 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 22 and 42 is 2.
What prime factors do 22 and 42 share?
The prime factorizations of 22 and 42 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.
How does the GCF reduce the fraction 22/42?
Divide the numerator and the denominator by the GCF 2: 22 ÷ 2 = 11 and 42 ÷ 2 = 21. So 22/42 in lowest terms is 11/21.
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