What is the Greatest Common Factor of 87628 and 87646?

Greatest common factor (GCF) of 87628 and 87646 is 2.

GCF(87628,87646) = 2

We will now calculate the prime factors of 87628 and 87646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87628 and 87646.

How to find the GCF of 87628 and 87646?

We will first find the prime factorization of 87628 and 87646. After we will calculate the factors of 87628 and 87646 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 87646

Prime factors of 87646 are 2, 13, 3371. Prime factorization of 87646 in exponential form is:

87646 = 2¹ × 13¹ × 3371¹

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 87646

List of positive integer factors of 87646 that divides 87628 without a remainder.

1, 2, 13, 26, 3371, 6742, 43823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87628 and 87646. The biggest common factor number is the GCF number.
So the greatest common factor 87628 and 87646 is 2.

Also check out the Least Common Multiple of 87628 and 87646