What is the Greatest Common Factor of 87646 and 87652?

Greatest common factor (GCF) of 87646 and 87652 is 2.

GCF(87646,87652) = 2

We will now calculate the prime factors of 87646 and 87652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87646 and 87652.

How to find the GCF of 87646 and 87652?

We will first find the prime factorization of 87646 and 87652. After we will calculate the factors of 87646 and 87652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87652

Prime factors of 87652 are 2, 17, 1289. Prime factorization of 87652 in exponential form is:

87652 = 2² × 17¹ × 1289¹

Step-3: Factors of 87646

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

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

Step-4: Factors of 87652

List of positive integer factors of 87652 that divides 87646 without a remainder.

1, 2, 4, 17, 34, 68, 1289, 2578, 5156, 21913, 43826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87646 and 87652. The biggest common factor number is the GCF number.
So the greatest common factor 87646 and 87652 is 2.

Also check out the Least Common Multiple of 87646 and 87652