What is the Greatest Common Factor of 42679 and 42692?

Greatest common factor (GCF) of 42679 and 42692 is 13.

GCF(42679,42692) = 13

We will now calculate the prime factors of 42679 and 42692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42679 and 42692.

How to find the GCF of 42679 and 42692?

We will first find the prime factorization of 42679 and 42692. After we will calculate the factors of 42679 and 42692 and find the biggest common factor number .

Step-1: Prime Factorization of 42679

Prime factors of 42679 are 7, 13, 67. Prime factorization of 42679 in exponential form is:

42679 = 7² × 13¹ × 67¹

Step-2: Prime Factorization of 42692

Prime factors of 42692 are 2, 13, 821. Prime factorization of 42692 in exponential form is:

42692 = 2² × 13¹ × 821¹

Step-3: Factors of 42679

List of positive integer factors of 42679 that divides 42679 without a remainder.

1, 7, 13, 49, 67, 91, 469, 637, 871, 3283, 6097

Step-4: Factors of 42692

List of positive integer factors of 42692 that divides 42679 without a remainder.

1, 2, 4, 13, 26, 52, 821, 1642, 3284, 10673, 21346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42679 and 42692. The biggest common factor number is the GCF number.
So the greatest common factor 42679 and 42692 is 13.

Also check out the Least Common Multiple of 42679 and 42692