What is the Greatest Common Factor of 87458 and 87472?

Greatest common factor (GCF) of 87458 and 87472 is 14.

GCF(87458,87472) = 14

We will now calculate the prime factors of 87458 and 87472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87458 and 87472.

How to find the GCF of 87458 and 87472?

We will first find the prime factorization of 87458 and 87472. After we will calculate the factors of 87458 and 87472 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 87472

Prime factors of 87472 are 2, 7, 11, 71. Prime factorization of 87472 in exponential form is:

87472 = 2⁴ × 7¹ × 11¹ × 71¹

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 87472

List of positive integer factors of 87472 that divides 87458 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 71, 77, 88, 112, 142, 154, 176, 284, 308, 497, 568, 616, 781, 994, 1136, 1232, 1562, 1988, 3124, 3976, 5467, 6248, 7952, 10934, 12496, 21868, 43736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87458 and 87472. The biggest common factor number is the GCF number.
So the greatest common factor 87458 and 87472 is 14.

Also check out the Least Common Multiple of 87458 and 87472