What is the Greatest Common Factor of 638 and 642?
Greatest common factor (GCF) of 638 and 642 is 2.
GCF(638,642) = 2
We will now calculate the prime factors of 638 and 642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 638 and 642.
How to find the GCF of 638 and 642?
We will first find the prime factorization of 638 and 642. After we will calculate the factors of 638 and 642 and find the biggest common factor number .
Step-1: Prime Factorization of 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Step-2: Prime Factorization of 642
Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:
642 = 21 × 31 × 1071
Step-3: Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319
Step-4: Factors of 642
List of positive integer factors of 642 that divides 638 without a remainder.
1, 2, 3, 6, 107, 214, 321
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 638 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 642 is 2.
Also check out the Least Common Multiple of 638 and 642
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Related Greatest Common Factors of 642
- GCF of 642 and 646
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