What is the Greatest Common Factor of 87633 and 87646?

Greatest common factor (GCF) of 87633 and 87646 is 13.

GCF(87633,87646) = 13

We will now calculate the prime factors of 87633 and 87646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87633 and 87646.

How to find the GCF of 87633 and 87646?

We will first find the prime factorization of 87633 and 87646. After we will calculate the factors of 87633 and 87646 and find the biggest common factor number .

Step-1: Prime Factorization of 87633

Prime factors of 87633 are 3, 7, 13, 107. Prime factorization of 87633 in exponential form is:

87633 = 3² × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 87646

Prime factors of 87646 are 2, 13, 3371. Prime factorization of 87646 in exponential form is:

87646 = 2¹ × 13¹ × 3371¹

Step-3: Factors of 87633

List of positive integer factors of 87633 that divides 87633 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 107, 117, 273, 321, 749, 819, 963, 1391, 2247, 4173, 6741, 9737, 12519, 29211

Step-4: Factors of 87646

List of positive integer factors of 87646 that divides 87633 without a remainder.

1, 2, 13, 26, 3371, 6742, 43823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87633 and 87646. The biggest common factor number is the GCF number.
So the greatest common factor 87633 and 87646 is 13.

Also check out the Least Common Multiple of 87633 and 87646