What is the Greatest Common Factor of 87458 and 87462?

Greatest common factor (GCF) of 87458 and 87462 is 2.

GCF(87458,87462) = 2

We will now calculate the prime factors of 87458 and 87462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87458 and 87462.

How to find the GCF of 87458 and 87462?

We will first find the prime factorization of 87458 and 87462. After we will calculate the factors of 87458 and 87462 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87462

Prime factors of 87462 are 2, 3, 43, 113. Prime factorization of 87462 in exponential form is:

87462 = 2¹ × 3² × 43¹ × 113¹

Step-3: Factors of 87458

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

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

Step-4: Factors of 87462

List of positive integer factors of 87462 that divides 87458 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 113, 129, 226, 258, 339, 387, 678, 774, 1017, 2034, 4859, 9718, 14577, 29154, 43731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87458 and 87462. The biggest common factor number is the GCF number.
So the greatest common factor 87458 and 87462 is 2.

Also check out the Least Common Multiple of 87458 and 87462