What is the Greatest Common Factor of 87626 and 87633?

Greatest common factor (GCF) of 87626 and 87633 is 7.

GCF(87626,87633) = 7

We will now calculate the prime factors of 87626 and 87633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87626 and 87633.

How to find the GCF of 87626 and 87633?

We will first find the prime factorization of 87626 and 87633. After we will calculate the factors of 87626 and 87633 and find the biggest common factor number .

Step-1: Prime Factorization of 87626

Prime factors of 87626 are 2, 7, 11, 569. Prime factorization of 87626 in exponential form is:

87626 = 2¹ × 7¹ × 11¹ × 569¹

Step-2: 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-3: Factors of 87626

List of positive integer factors of 87626 that divides 87626 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 569, 1138, 3983, 6259, 7966, 12518, 43813

Step-4: Factors of 87633

List of positive integer factors of 87633 that divides 87626 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87626 and 87633. The biggest common factor number is the GCF number.
So the greatest common factor 87626 and 87633 is 7.

Also check out the Least Common Multiple of 87626 and 87633