What is the Greatest Common Factor of 87451 and 87464?

Greatest common factor (GCF) of 87451 and 87464 is 13.

GCF(87451,87464) = 13

We will now calculate the prime factors of 87451 and 87464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87451 and 87464.

How to find the GCF of 87451 and 87464?

We will first find the prime factorization of 87451 and 87464. After we will calculate the factors of 87451 and 87464 and find the biggest common factor number .

Step-1: Prime Factorization of 87451

Prime factors of 87451 are 7, 13, 31. Prime factorization of 87451 in exponential form is:

87451 = 7¹ × 13¹ × 31²

Step-2: Prime Factorization of 87464

Prime factors of 87464 are 2, 13, 29. Prime factorization of 87464 in exponential form is:

87464 = 2³ × 13¹ × 29²

Step-3: Factors of 87451

List of positive integer factors of 87451 that divides 87451 without a remainder.

1, 7, 13, 31, 91, 217, 403, 961, 2821, 6727, 12493

Step-4: Factors of 87464

List of positive integer factors of 87464 that divides 87451 without a remainder.

1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 841, 1508, 1682, 3016, 3364, 6728, 10933, 21866, 43732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87451 and 87464. The biggest common factor number is the GCF number.
So the greatest common factor 87451 and 87464 is 13.

Also check out the Least Common Multiple of 87451 and 87464