What is the Greatest Common Factor of 87633 and 87648?

Greatest common factor (GCF) of 87633 and 87648 is 3.

GCF(87633,87648) = 3

We will now calculate the prime factors of 87633 and 87648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87633 and 87648.

How to find the GCF of 87633 and 87648?

We will first find the prime factorization of 87633 and 87648. After we will calculate the factors of 87633 and 87648 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 87648

Prime factors of 87648 are 2, 3, 11, 83. Prime factorization of 87648 in exponential form is:

87648 = 2⁵ × 3¹ × 11¹ × 83¹

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 87648

List of positive integer factors of 87648 that divides 87633 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 83, 88, 96, 132, 166, 176, 249, 264, 332, 352, 498, 528, 664, 913, 996, 1056, 1328, 1826, 1992, 2656, 2739, 3652, 3984, 5478, 7304, 7968, 10956, 14608, 21912, 29216, 43824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87633 and 87648. The biggest common factor number is the GCF number.
So the greatest common factor 87633 and 87648 is 3.

Also check out the Least Common Multiple of 87633 and 87648