What is the Greatest Common Factor of 87472 and 87486?

Greatest common factor (GCF) of 87472 and 87486 is 14.

GCF(87472,87486) = 14

We will now calculate the prime factors of 87472 and 87486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87472 and 87486.

How to find the GCF of 87472 and 87486?

We will first find the prime factorization of 87472 and 87486. After we will calculate the factors of 87472 and 87486 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87486

Prime factors of 87486 are 2, 3, 7, 2083. Prime factorization of 87486 in exponential form is:

87486 = 2¹ × 3¹ × 7¹ × 2083¹

Step-3: Factors of 87472

List of positive integer factors of 87472 that divides 87472 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

Step-4: Factors of 87486

List of positive integer factors of 87486 that divides 87472 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2083, 4166, 6249, 12498, 14581, 29162, 43743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87472 and 87486. The biggest common factor number is the GCF number.
So the greatest common factor 87472 and 87486 is 14.

Also check out the Least Common Multiple of 87472 and 87486