What is the Greatest Common Factor of 87090 and 87108?

Greatest common factor (GCF) of 87090 and 87108 is 6.

GCF(87090,87108) = 6

We will now calculate the prime factors of 87090 and 87108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87090 and 87108.

How to find the GCF of 87090 and 87108?

We will first find the prime factorization of 87090 and 87108. After we will calculate the factors of 87090 and 87108 and find the biggest common factor number .

Step-1: Prime Factorization of 87090

Prime factors of 87090 are 2, 3, 5, 2903. Prime factorization of 87090 in exponential form is:

87090 = 2¹ × 3¹ × 5¹ × 2903¹

Step-2: 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-3: Factors of 87090

List of positive integer factors of 87090 that divides 87090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2903, 5806, 8709, 14515, 17418, 29030, 43545

Step-4: Factors of 87108

List of positive integer factors of 87108 that divides 87090 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87090 and 87108. The biggest common factor number is the GCF number.
So the greatest common factor 87090 and 87108 is 6.

Also check out the Least Common Multiple of 87090 and 87108