What is the Greatest Common Factor of 87555 and 87568?

Greatest common factor (GCF) of 87555 and 87568 is 13.

GCF(87555,87568) = 13

We will now calculate the prime factors of 87555 and 87568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87555 and 87568.

How to find the GCF of 87555 and 87568?

We will first find the prime factorization of 87555 and 87568. After we will calculate the factors of 87555 and 87568 and find the biggest common factor number .

Step-1: Prime Factorization of 87555

Prime factors of 87555 are 3, 5, 13, 449. Prime factorization of 87555 in exponential form is:

87555 = 3¹ × 5¹ × 13¹ × 449¹

Step-2: Prime Factorization of 87568

Prime factors of 87568 are 2, 13, 421. Prime factorization of 87568 in exponential form is:

87568 = 2⁴ × 13¹ × 421¹

Step-3: Factors of 87555

List of positive integer factors of 87555 that divides 87555 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 449, 1347, 2245, 5837, 6735, 17511, 29185

Step-4: Factors of 87568

List of positive integer factors of 87568 that divides 87555 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 421, 842, 1684, 3368, 5473, 6736, 10946, 21892, 43784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87555 and 87568. The biggest common factor number is the GCF number.
So the greatest common factor 87555 and 87568 is 13.

Also check out the Least Common Multiple of 87555 and 87568