What is the Greatest Common Factor of 87440 and 87460?

Greatest common factor (GCF) of 87440 and 87460 is 20.

GCF(87440,87460) = 20

We will now calculate the prime factors of 87440 and 87460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87440 and 87460.

How to find the GCF of 87440 and 87460?

We will first find the prime factorization of 87440 and 87460. After we will calculate the factors of 87440 and 87460 and find the biggest common factor number .

Step-1: Prime Factorization of 87440

Prime factors of 87440 are 2, 5, 1093. Prime factorization of 87440 in exponential form is:

87440 = 2⁴ × 5¹ × 1093¹

Step-2: Prime Factorization of 87460

Prime factors of 87460 are 2, 5, 4373. Prime factorization of 87460 in exponential form is:

87460 = 2² × 5¹ × 4373¹

Step-3: Factors of 87440

List of positive integer factors of 87440 that divides 87440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1093, 2186, 4372, 5465, 8744, 10930, 17488, 21860, 43720

Step-4: Factors of 87460

List of positive integer factors of 87460 that divides 87440 without a remainder.

1, 2, 4, 5, 10, 20, 4373, 8746, 17492, 21865, 43730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87440 and 87460. The biggest common factor number is the GCF number.
So the greatest common factor 87440 and 87460 is 20.

Also check out the Least Common Multiple of 87440 and 87460