What is the Greatest Common Factor of 88578 and 88592?

Greatest common factor (GCF) of 88578 and 88592 is 14.

GCF(88578,88592) = 14

We will now calculate the prime factors of 88578 and 88592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88578 and 88592.

How to find the GCF of 88578 and 88592?

We will first find the prime factorization of 88578 and 88592. After we will calculate the factors of 88578 and 88592 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 88592

Prime factors of 88592 are 2, 7, 113. Prime factorization of 88592 in exponential form is:

88592 = 2⁴ × 7² × 113¹

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 88592

List of positive integer factors of 88592 that divides 88578 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 113, 196, 226, 392, 452, 784, 791, 904, 1582, 1808, 3164, 5537, 6328, 11074, 12656, 22148, 44296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88578 and 88592. The biggest common factor number is the GCF number.
So the greatest common factor 88578 and 88592 is 14.

Also check out the Least Common Multiple of 88578 and 88592