What is the Greatest Common Factor of 87628 and 87636?

Greatest common factor (GCF) of 87628 and 87636 is 4.

GCF(87628,87636) = 4

We will now calculate the prime factors of 87628 and 87636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87628 and 87636.

How to find the GCF of 87628 and 87636?

We will first find the prime factorization of 87628 and 87636. After we will calculate the factors of 87628 and 87636 and find the biggest common factor number .

Step-1: Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 2² × 19¹ × 1153¹

Step-2: 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-3: Factors of 87628

List of positive integer factors of 87628 that divides 87628 without a remainder.

1, 2, 4, 19, 38, 76, 1153, 2306, 4612, 21907, 43814

Step-4: Factors of 87636

List of positive integer factors of 87636 that divides 87628 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87628 and 87636. The biggest common factor number is the GCF number.
So the greatest common factor 87628 and 87636 is 4.

Also check out the Least Common Multiple of 87628 and 87636