What is the Greatest Common Factor of 87633 and 87639?

Greatest common factor (GCF) of 87633 and 87639 is 3.

GCF(87633,87639) = 3

We will now calculate the prime factors of 87633 and 87639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87633 and 87639.

How to find the GCF of 87633 and 87639?

We will first find the prime factorization of 87633 and 87639. After we will calculate the factors of 87633 and 87639 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 87639

Prime factors of 87639 are 3, 131, 223. Prime factorization of 87639 in exponential form is:

87639 = 3¹ × 131¹ × 223¹

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 87639

List of positive integer factors of 87639 that divides 87633 without a remainder.

1, 3, 131, 223, 393, 669, 29213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87633 and 87639. The biggest common factor number is the GCF number.
So the greatest common factor 87633 and 87639 is 3.

Also check out the Least Common Multiple of 87633 and 87639