What is the Greatest Common Factor of 88044 and 88056?

Greatest common factor (GCF) of 88044 and 88056 is 12.

GCF(88044,88056) = 12

We will now calculate the prime factors of 88044 and 88056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88044 and 88056.

How to find the GCF of 88044 and 88056?

We will first find the prime factorization of 88044 and 88056. After we will calculate the factors of 88044 and 88056 and find the biggest common factor number .

Step-1: Prime Factorization of 88044

Prime factors of 88044 are 2, 3, 11, 23, 29. Prime factorization of 88044 in exponential form is:

88044 = 2² × 3¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 88056

Prime factors of 88056 are 2, 3, 1223. Prime factorization of 88056 in exponential form is:

88056 = 2³ × 3² × 1223¹

Step-3: Factors of 88044

List of positive integer factors of 88044 that divides 88044 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 29, 33, 44, 46, 58, 66, 69, 87, 92, 116, 132, 138, 174, 253, 276, 319, 348, 506, 638, 667, 759, 957, 1012, 1276, 1334, 1518, 1914, 2001, 2668, 3036, 3828, 4002, 7337, 8004, 14674, 22011, 29348, 44022

Step-4: Factors of 88056

List of positive integer factors of 88056 that divides 88044 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1223, 2446, 3669, 4892, 7338, 9784, 11007, 14676, 22014, 29352, 44028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88044 and 88056. The biggest common factor number is the GCF number.
So the greatest common factor 88044 and 88056 is 12.

Also check out the Least Common Multiple of 88044 and 88056