What is the Greatest Common Factor of 42696 and 42707?

Greatest common factor (GCF) of 42696 and 42707 is 1.

GCF(42696,42707) = 1

We will now calculate the prime factors of 42696 and 42707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42696 and 42707.

How to find the GCF of 42696 and 42707?

We will first find the prime factorization of 42696 and 42707. After we will calculate the factors of 42696 and 42707 and find the biggest common factor number .

Step-1: Prime Factorization of 42696

Prime factors of 42696 are 2, 3, 593. Prime factorization of 42696 in exponential form is:

42696 = 2³ × 3² × 593¹

Step-2: Prime Factorization of 42707

Prime factors of 42707 are 7, 6101. Prime factorization of 42707 in exponential form is:

42707 = 7¹ × 6101¹

Step-3: Factors of 42696

List of positive integer factors of 42696 that divides 42696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 593, 1186, 1779, 2372, 3558, 4744, 5337, 7116, 10674, 14232, 21348

Step-4: Factors of 42707

List of positive integer factors of 42707 that divides 42696 without a remainder.

1, 7, 6101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42696 and 42707. The biggest common factor number is the GCF number.
So the greatest common factor 42696 and 42707 is 1.

Also check out the Least Common Multiple of 42696 and 42707