What is the Greatest Common Factor of 87648 and 87659?

Greatest common factor (GCF) of 87648 and 87659 is 11.

GCF(87648,87659) = 11

We will now calculate the prime factors of 87648 and 87659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87648 and 87659.

How to find the GCF of 87648 and 87659?

We will first find the prime factorization of 87648 and 87659. After we will calculate the factors of 87648 and 87659 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 87659

Prime factors of 87659 are 11, 13, 613. Prime factorization of 87659 in exponential form is:

87659 = 11¹ × 13¹ × 613¹

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 87659

List of positive integer factors of 87659 that divides 87648 without a remainder.

1, 11, 13, 143, 613, 6743, 7969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87648 and 87659. The biggest common factor number is the GCF number.
So the greatest common factor 87648 and 87659 is 11.

Also check out the Least Common Multiple of 87648 and 87659