What is the Greatest Common Factor of 87451 and 87458?

Greatest common factor (GCF) of 87451 and 87458 is 7.

GCF(87451,87458) = 7

We will now calculate the prime factors of 87451 and 87458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87451 and 87458.

How to find the GCF of 87451 and 87458?

We will first find the prime factorization of 87451 and 87458. After we will calculate the factors of 87451 and 87458 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 87458

Prime factors of 87458 are 2, 7, 6247. Prime factorization of 87458 in exponential form is:

87458 = 2¹ × 7¹ × 6247¹

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 87458

List of positive integer factors of 87458 that divides 87451 without a remainder.

1, 2, 7, 14, 6247, 12494, 43729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87451 and 87458. The biggest common factor number is the GCF number.
So the greatest common factor 87451 and 87458 is 7.

Also check out the Least Common Multiple of 87451 and 87458