What is the Greatest Common Factor of 87675 and 87682?

Greatest common factor (GCF) of 87675 and 87682 is 7.

GCF(87675,87682) = 7

We will now calculate the prime factors of 87675 and 87682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87675 and 87682.

How to find the GCF of 87675 and 87682?

We will first find the prime factorization of 87675 and 87682. After we will calculate the factors of 87675 and 87682 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 87682

Prime factors of 87682 are 2, 7, 6263. Prime factorization of 87682 in exponential form is:

87682 = 2¹ × 7¹ × 6263¹

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 87682

List of positive integer factors of 87682 that divides 87675 without a remainder.

1, 2, 7, 14, 6263, 12526, 43841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87675 and 87682. The biggest common factor number is the GCF number.
So the greatest common factor 87675 and 87682 is 7.

Also check out the Least Common Multiple of 87675 and 87682