What is the Greatest Common Factor of 87456 and 87460?

Greatest common factor (GCF) of 87456 and 87460 is 4.

GCF(87456,87460) = 4

We will now calculate the prime factors of 87456 and 87460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87456 and 87460.

How to find the GCF of 87456 and 87460?

We will first find the prime factorization of 87456 and 87460. After we will calculate the factors of 87456 and 87460 and find the biggest common factor number .

Step-1: Prime Factorization of 87456

Prime factors of 87456 are 2, 3, 911. Prime factorization of 87456 in exponential form is:

87456 = 2⁵ × 3¹ × 911¹

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 87456

List of positive integer factors of 87456 that divides 87456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864, 29152, 43728

Step-4: Factors of 87460

List of positive integer factors of 87460 that divides 87456 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 87456 and 87460. The biggest common factor number is the GCF number.
So the greatest common factor 87456 and 87460 is 4.

Also check out the Least Common Multiple of 87456 and 87460