What is the Greatest Common Factor of 87444 and 87456?

Greatest common factor (GCF) of 87444 and 87456 is 12.

GCF(87444,87456) = 12

We will now calculate the prime factors of 87444 and 87456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87444 and 87456.

How to find the GCF of 87444 and 87456?

We will first find the prime factorization of 87444 and 87456. After we will calculate the factors of 87444 and 87456 and find the biggest common factor number .

Step-1: Prime Factorization of 87444

Prime factors of 87444 are 2, 3, 7, 347. Prime factorization of 87444 in exponential form is:

87444 = 2² × 3² × 7¹ × 347¹

Step-2: 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-3: Factors of 87444

List of positive integer factors of 87444 that divides 87444 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 347, 694, 1041, 1388, 2082, 2429, 3123, 4164, 4858, 6246, 7287, 9716, 12492, 14574, 21861, 29148, 43722

Step-4: Factors of 87456

List of positive integer factors of 87456 that divides 87444 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87444 and 87456. The biggest common factor number is the GCF number.
So the greatest common factor 87444 and 87456 is 12.

Also check out the Least Common Multiple of 87444 and 87456