What is the Greatest Common Factor of 87108 and 87127?

Greatest common factor (GCF) of 87108 and 87127 is 1.

GCF(87108,87127) = 1

We will now calculate the prime factors of 87108 and 87127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87108 and 87127.

How to find the GCF of 87108 and 87127?

We will first find the prime factorization of 87108 and 87127. After we will calculate the factors of 87108 and 87127 and find the biggest common factor number .

Step-1: Prime Factorization of 87108

Prime factors of 87108 are 2, 3, 7, 17, 61. Prime factorization of 87108 in exponential form is:

87108 = 2² × 3¹ × 7¹ × 17¹ × 61¹

Step-2: Prime Factorization of 87127

Prime factors of 87127 are 151, 577. Prime factorization of 87127 in exponential form is:

87127 = 151¹ × 577¹

Step-3: Factors of 87108

List of positive integer factors of 87108 that divides 87108 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 61, 68, 84, 102, 119, 122, 183, 204, 238, 244, 357, 366, 427, 476, 714, 732, 854, 1037, 1281, 1428, 1708, 2074, 2562, 3111, 4148, 5124, 6222, 7259, 12444, 14518, 21777, 29036, 43554

Step-4: Factors of 87127

List of positive integer factors of 87127 that divides 87108 without a remainder.

1, 151, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87108 and 87127. The biggest common factor number is the GCF number.
So the greatest common factor 87108 and 87127 is 1.

Also check out the Least Common Multiple of 87108 and 87127