What is the Greatest Common Factor of 87661 and 87675?

Greatest common factor (GCF) of 87661 and 87675 is 7.

GCF(87661,87675) = 7

We will now calculate the prime factors of 87661 and 87675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87661 and 87675.

How to find the GCF of 87661 and 87675?

We will first find the prime factorization of 87661 and 87675. After we will calculate the factors of 87661 and 87675 and find the biggest common factor number .

Step-1: Prime Factorization of 87661

Prime factors of 87661 are 7, 1789. Prime factorization of 87661 in exponential form is:

87661 = 7² × 1789¹

Step-2: 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-3: Factors of 87661

List of positive integer factors of 87661 that divides 87661 without a remainder.

1, 7, 49, 1789, 12523

Step-4: Factors of 87675

List of positive integer factors of 87675 that divides 87661 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87661 and 87675. The biggest common factor number is the GCF number.
So the greatest common factor 87661 and 87675 is 7.

Also check out the Least Common Multiple of 87661 and 87675