What is the Greatest Common Factor of 42665 and 42679?

Greatest common factor (GCF) of 42665 and 42679 is 7.

GCF(42665,42679) = 7

We will now calculate the prime factors of 42665 and 42679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42665 and 42679.

How to find the GCF of 42665 and 42679?

We will first find the prime factorization of 42665 and 42679. After we will calculate the factors of 42665 and 42679 and find the biggest common factor number .

Step-1: Prime Factorization of 42665

Prime factors of 42665 are 5, 7, 23, 53. Prime factorization of 42665 in exponential form is:

42665 = 5¹ × 7¹ × 23¹ × 53¹

Step-2: 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-3: Factors of 42665

List of positive integer factors of 42665 that divides 42665 without a remainder.

1, 5, 7, 23, 35, 53, 115, 161, 265, 371, 805, 1219, 1855, 6095, 8533

Step-4: Factors of 42679

List of positive integer factors of 42679 that divides 42665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42665 and 42679. The biggest common factor number is the GCF number.
So the greatest common factor 42665 and 42679 is 7.

Also check out the Least Common Multiple of 42665 and 42679