What is the Greatest Common Factor of 87108 and 87119?

Greatest common factor (GCF) of 87108 and 87119 is 1.

GCF(87108,87119) = 1

We will now calculate the prime factors of 87108 and 87119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87108 and 87119.

How to find the GCF of 87108 and 87119?

We will first find the prime factorization of 87108 and 87119. After we will calculate the factors of 87108 and 87119 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 87119

Prime factors of 87119 are 87119. Prime factorization of 87119 in exponential form is:

87119 = 87119¹

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 87119

List of positive integer factors of 87119 that divides 87108 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87108 and 87119. The biggest common factor number is the GCF number.
So the greatest common factor 87108 and 87119 is 1.

Also check out the Least Common Multiple of 87108 and 87119