What is the Greatest Common Factor of 87639 and 87648?

Greatest common factor (GCF) of 87639 and 87648 is 3.

GCF(87639,87648) = 3

We will now calculate the prime factors of 87639 and 87648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87639 and 87648.

How to find the GCF of 87639 and 87648?

We will first find the prime factorization of 87639 and 87648. After we will calculate the factors of 87639 and 87648 and find the biggest common factor number .

Step-1: 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-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 87639

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

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

Step-4: Factors of 87648

List of positive integer factors of 87648 that divides 87639 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 87639 and 87648. The biggest common factor number is the GCF number.
So the greatest common factor 87639 and 87648 is 3.

Also check out the Least Common Multiple of 87639 and 87648