What is the Greatest Common Factor of 87648 and 87658?

Greatest common factor (GCF) of 87648 and 87658 is 2.

GCF(87648,87658) = 2

We will now calculate the prime factors of 87648 and 87658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87648 and 87658.

How to find the GCF of 87648 and 87658?

We will first find the prime factorization of 87648 and 87658. After we will calculate the factors of 87648 and 87658 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87658

Prime factors of 87658 are 2, 41, 1069. Prime factorization of 87658 in exponential form is:

87658 = 2¹ × 41¹ × 1069¹

Step-3: Factors of 87648

List of positive integer factors of 87648 that divides 87648 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

Step-4: Factors of 87658

List of positive integer factors of 87658 that divides 87648 without a remainder.

1, 2, 41, 82, 1069, 2138, 43829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87648 and 87658. The biggest common factor number is the GCF number.
So the greatest common factor 87648 and 87658 is 2.

Also check out the Least Common Multiple of 87648 and 87658