What is the Greatest Common Factor of 87456 and 87468?

Greatest common factor (GCF) of 87456 and 87468 is 12.

GCF(87456,87468) = 12

We will now calculate the prime factors of 87456 and 87468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87456 and 87468.

How to find the GCF of 87456 and 87468?

We will first find the prime factorization of 87456 and 87468. After we will calculate the factors of 87456 and 87468 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 87468

Prime factors of 87468 are 2, 3, 37, 197. Prime factorization of 87468 in exponential form is:

87468 = 2² × 3¹ × 37¹ × 197¹

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 87468

List of positive integer factors of 87468 that divides 87456 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 197, 222, 394, 444, 591, 788, 1182, 2364, 7289, 14578, 21867, 29156, 43734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87456 and 87468. The biggest common factor number is the GCF number.
So the greatest common factor 87456 and 87468 is 12.

Also check out the Least Common Multiple of 87456 and 87468