What is the Greatest Common Factor of 87448 and 87460?

Greatest common factor (GCF) of 87448 and 87460 is 4.

GCF(87448,87460) = 4

We will now calculate the prime factors of 87448 and 87460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87448 and 87460.

How to find the GCF of 87448 and 87460?

We will first find the prime factorization of 87448 and 87460. After we will calculate the factors of 87448 and 87460 and find the biggest common factor number .

Step-1: Prime Factorization of 87448

Prime factors of 87448 are 2, 17, 643. Prime factorization of 87448 in exponential form is:

87448 = 2³ × 17¹ × 643¹

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 87448

List of positive integer factors of 87448 that divides 87448 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 643, 1286, 2572, 5144, 10931, 21862, 43724

Step-4: Factors of 87460

List of positive integer factors of 87460 that divides 87448 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 87448 and 87460. The biggest common factor number is the GCF number.
So the greatest common factor 87448 and 87460 is 4.

Also check out the Least Common Multiple of 87448 and 87460