What is the Greatest Common Factor of 87459 and 87472?

Greatest common factor (GCF) of 87459 and 87472 is 1.

GCF(87459,87472) = 1

We will now calculate the prime factors of 87459 and 87472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87459 and 87472.

How to find the GCF of 87459 and 87472?

We will first find the prime factorization of 87459 and 87472. After we will calculate the factors of 87459 and 87472 and find the biggest common factor number .

Step-1: Prime Factorization of 87459

Prime factors of 87459 are 3, 29153. Prime factorization of 87459 in exponential form is:

87459 = 3¹ × 29153¹

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 87459

List of positive integer factors of 87459 that divides 87459 without a remainder.

1, 3, 29153

Step-4: Factors of 87472

List of positive integer factors of 87472 that divides 87459 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 87459 and 87472. The biggest common factor number is the GCF number.
So the greatest common factor 87459 and 87472 is 1.

Also check out the Least Common Multiple of 87459 and 87472