What is the Greatest Common Factor of 87633 and 87642?

Greatest common factor (GCF) of 87633 and 87642 is 9.

GCF(87633,87642) = 9

We will now calculate the prime factors of 87633 and 87642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87633 and 87642.

How to find the GCF of 87633 and 87642?

We will first find the prime factorization of 87633 and 87642. After we will calculate the factors of 87633 and 87642 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 87642

Prime factors of 87642 are 2, 3, 541. Prime factorization of 87642 in exponential form is:

87642 = 2¹ × 3⁴ × 541¹

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 87642

List of positive integer factors of 87642 that divides 87633 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 541, 1082, 1623, 3246, 4869, 9738, 14607, 29214, 43821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87633 and 87642. The biggest common factor number is the GCF number.
So the greatest common factor 87633 and 87642 is 9.

Also check out the Least Common Multiple of 87633 and 87642