What is the Greatest Common Factor of 88578 and 88584?

Greatest common factor (GCF) of 88578 and 88584 is 6.

GCF(88578,88584) = 6

We will now calculate the prime factors of 88578 and 88584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88578 and 88584.

How to find the GCF of 88578 and 88584?

We will first find the prime factorization of 88578 and 88584. After we will calculate the factors of 88578 and 88584 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88584

Prime factors of 88584 are 2, 3, 3691. Prime factorization of 88584 in exponential form is:

88584 = 2³ × 3¹ × 3691¹

Step-3: Factors of 88578

List of positive integer factors of 88578 that divides 88578 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

Step-4: Factors of 88584

List of positive integer factors of 88584 that divides 88578 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3691, 7382, 11073, 14764, 22146, 29528, 44292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88578 and 88584. The biggest common factor number is the GCF number.
So the greatest common factor 88578 and 88584 is 6.

Also check out the Least Common Multiple of 88578 and 88584