What is the Greatest Common Factor of 87675 and 87683?

Greatest common factor (GCF) of 87675 and 87683 is 1.

GCF(87675,87683) = 1

We will now calculate the prime factors of 87675 and 87683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87675 and 87683.

How to find the GCF of 87675 and 87683?

We will first find the prime factorization of 87675 and 87683. After we will calculate the factors of 87675 and 87683 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 87683

Prime factors of 87683 are 87683. Prime factorization of 87683 in exponential form is:

87683 = 87683¹

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 87683

List of positive integer factors of 87683 that divides 87675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87675 and 87683. The biggest common factor number is the GCF number.
So the greatest common factor 87675 and 87683 is 1.

Also check out the Least Common Multiple of 87675 and 87683