What is the Greatest Common Factor of 628 and 637?
Greatest common factor (GCF) of 628 and 637 is 1.
GCF(628,637) = 1
We will now calculate the prime factors of 628 and 637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 628 and 637.
How to find the GCF of 628 and 637?
We will first find the prime factorization of 628 and 637. After we will calculate the factors of 628 and 637 and find the biggest common factor number .
Step-1: Prime Factorization of 628
Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:
628 = 22 × 1571
Step-2: Prime Factorization of 637
Prime factors of 637 are 7, 13. Prime factorization of 637 in exponential form is:
637 = 72 × 131
Step-3: Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314
Step-4: Factors of 637
List of positive integer factors of 637 that divides 628 without a remainder.
1, 7, 13, 49, 91
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 628 and 637. The biggest common factor number is the GCF number.
So the greatest common factor 628 and 637 is 1.
Also check out the Least Common Multiple of 628 and 637
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Related Greatest Common Factors of 637
- GCF of 637 and 641
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- GCF of 637 and 648
- GCF of 637 and 649
- GCF of 637 and 650
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- GCF of 637 and 652
- GCF of 637 and 653
- GCF of 637 and 654
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