What is the Greatest Common Factor of 88564 and 88578?

Greatest common factor (GCF) of 88564 and 88578 is 14.

GCF(88564,88578) = 14

We will now calculate the prime factors of 88564 and 88578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88564 and 88578.

How to find the GCF of 88564 and 88578?

We will first find the prime factorization of 88564 and 88578. After we will calculate the factors of 88564 and 88578 and find the biggest common factor number .

Step-1: Prime Factorization of 88564

Prime factors of 88564 are 2, 7, 3163. Prime factorization of 88564 in exponential form is:

88564 = 2² × 7¹ × 3163¹

Step-2: Prime Factorization of 88578

Prime factors of 88578 are 2, 3, 7, 19, 37. Prime factorization of 88578 in exponential form is:

88578 = 2¹ × 3² × 7¹ × 19¹ × 37¹

Step-3: Factors of 88564

List of positive integer factors of 88564 that divides 88564 without a remainder.

1, 2, 4, 7, 14, 28, 3163, 6326, 12652, 22141, 44282

Step-4: Factors of 88578

List of positive integer factors of 88578 that divides 88564 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 37, 38, 42, 57, 63, 74, 111, 114, 126, 133, 171, 222, 259, 266, 333, 342, 399, 518, 666, 703, 777, 798, 1197, 1406, 1554, 2109, 2331, 2394, 4218, 4662, 4921, 6327, 9842, 12654, 14763, 29526, 44289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88564 and 88578. The biggest common factor number is the GCF number.
So the greatest common factor 88564 and 88578 is 14.

Also check out the Least Common Multiple of 88564 and 88578