What is the Greatest Common Factor of 87449 and 87464?

Greatest common factor (GCF) of 87449 and 87464 is 1.

GCF(87449,87464) = 1

We will now calculate the prime factors of 87449 and 87464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87449 and 87464.

How to find the GCF of 87449 and 87464?

We will first find the prime factorization of 87449 and 87464. After we will calculate the factors of 87449 and 87464 and find the biggest common factor number .

Step-1: Prime Factorization of 87449

Prime factors of 87449 are 157, 557. Prime factorization of 87449 in exponential form is:

87449 = 157¹ × 557¹

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 87449

List of positive integer factors of 87449 that divides 87449 without a remainder.

1, 157, 557

Step-4: Factors of 87464

List of positive integer factors of 87464 that divides 87449 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 87449 and 87464. The biggest common factor number is the GCF number.
So the greatest common factor 87449 and 87464 is 1.

Also check out the Least Common Multiple of 87449 and 87464