What is the Greatest Common Factor of 87636 and 87645?

Greatest common factor (GCF) of 87636 and 87645 is 3.

GCF(87636,87645) = 3

We will now calculate the prime factors of 87636 and 87645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87636 and 87645.

How to find the GCF of 87636 and 87645?

We will first find the prime factorization of 87636 and 87645. After we will calculate the factors of 87636 and 87645 and find the biggest common factor number .

Step-1: Prime Factorization of 87636

Prime factors of 87636 are 2, 3, 67, 109. Prime factorization of 87636 in exponential form is:

87636 = 2² × 3¹ × 67¹ × 109¹

Step-2: Prime Factorization of 87645

Prime factors of 87645 are 3, 5, 5843. Prime factorization of 87645 in exponential form is:

87645 = 3¹ × 5¹ × 5843¹

Step-3: Factors of 87636

List of positive integer factors of 87636 that divides 87636 without a remainder.

1, 2, 3, 4, 6, 12, 67, 109, 134, 201, 218, 268, 327, 402, 436, 654, 804, 1308, 7303, 14606, 21909, 29212, 43818

Step-4: Factors of 87645

List of positive integer factors of 87645 that divides 87636 without a remainder.

1, 3, 5, 15, 5843, 17529, 29215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87636 and 87645. The biggest common factor number is the GCF number.
So the greatest common factor 87636 and 87645 is 3.

Also check out the Least Common Multiple of 87636 and 87645