What is the Greatest Common Factor of 87675 and 87690?

Greatest common factor (GCF) of 87675 and 87690 is 15.

GCF(87675,87690) = 15

We will now calculate the prime factors of 87675 and 87690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87675 and 87690.

How to find the GCF of 87675 and 87690?

We will first find the prime factorization of 87675 and 87690. After we will calculate the factors of 87675 and 87690 and find the biggest common factor number .

Step-1: Prime Factorization of 87675

Prime factors of 87675 are 3, 5, 7, 167. Prime factorization of 87675 in exponential form is:

87675 = 3¹ × 5² × 7¹ × 167¹

Step-2: Prime Factorization of 87690

Prime factors of 87690 are 2, 3, 5, 37, 79. Prime factorization of 87690 in exponential form is:

87690 = 2¹ × 3¹ × 5¹ × 37¹ × 79¹

Step-3: Factors of 87675

List of positive integer factors of 87675 that divides 87675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 167, 175, 501, 525, 835, 1169, 2505, 3507, 4175, 5845, 12525, 17535, 29225

Step-4: Factors of 87690

List of positive integer factors of 87690 that divides 87675 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 79, 111, 158, 185, 222, 237, 370, 395, 474, 555, 790, 1110, 1185, 2370, 2923, 5846, 8769, 14615, 17538, 29230, 43845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87675 and 87690. The biggest common factor number is the GCF number.
So the greatest common factor 87675 and 87690 is 15.

Also check out the Least Common Multiple of 87675 and 87690