What is the Greatest Common Factor of 87675 and 87693?

Greatest common factor (GCF) of 87675 and 87693 is 3.

GCF(87675,87693) = 3

We will now calculate the prime factors of 87675 and 87693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87675 and 87693.

How to find the GCF of 87675 and 87693?

We will first find the prime factorization of 87675 and 87693. After we will calculate the factors of 87675 and 87693 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 87693

Prime factors of 87693 are 3, 29231. Prime factorization of 87693 in exponential form is:

87693 = 3¹ × 29231¹

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 87693

List of positive integer factors of 87693 that divides 87675 without a remainder.

1, 3, 29231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87675 and 87693. The biggest common factor number is the GCF number.
So the greatest common factor 87675 and 87693 is 3.

Also check out the Least Common Multiple of 87675 and 87693