What is the Greatest Common Factor of 87652 and 87668?

Greatest common factor (GCF) of 87652 and 87668 is 4.

GCF(87652,87668) = 4

We will now calculate the prime factors of 87652 and 87668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87652 and 87668.

How to find the GCF of 87652 and 87668?

We will first find the prime factorization of 87652 and 87668. After we will calculate the factors of 87652 and 87668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87668

Prime factors of 87668 are 2, 7, 31, 101. Prime factorization of 87668 in exponential form is:

87668 = 2² × 7¹ × 31¹ × 101¹

Step-3: Factors of 87652

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

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

Step-4: Factors of 87668

List of positive integer factors of 87668 that divides 87652 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 101, 124, 202, 217, 404, 434, 707, 868, 1414, 2828, 3131, 6262, 12524, 21917, 43834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87652 and 87668. The biggest common factor number is the GCF number.
So the greatest common factor 87652 and 87668 is 4.

Also check out the Least Common Multiple of 87652 and 87668