What is the Greatest Common Factor of 87675 and 87679?

Greatest common factor (GCF) of 87675 and 87679 is 1.

GCF(87675,87679) = 1

We will now calculate the prime factors of 87675 and 87679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87675 and 87679.

How to find the GCF of 87675 and 87679?

We will first find the prime factorization of 87675 and 87679. After we will calculate the factors of 87675 and 87679 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 87679

Prime factors of 87679 are 87679. Prime factorization of 87679 in exponential form is:

87679 = 87679¹

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 87679

List of positive integer factors of 87679 that divides 87675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87675 and 87679. The biggest common factor number is the GCF number.
So the greatest common factor 87675 and 87679 is 1.

Also check out the Least Common Multiple of 87675 and 87679