What is the Greatest Common Factor of 78048 and 78057?

Greatest common factor (GCF) of 78048 and 78057 is 9.

GCF(78048,78057) = 9

We will now calculate the prime factors of 78048 and 78057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78048 and 78057.

How to find the GCF of 78048 and 78057?

We will first find the prime factorization of 78048 and 78057. After we will calculate the factors of 78048 and 78057 and find the biggest common factor number .

Step-1: Prime Factorization of 78048

Prime factors of 78048 are 2, 3, 271. Prime factorization of 78048 in exponential form is:

78048 = 2⁵ × 3² × 271¹

Step-2: Prime Factorization of 78057

Prime factors of 78057 are 3, 7, 59. Prime factorization of 78057 in exponential form is:

78057 = 3³ × 7² × 59¹

Step-3: Factors of 78048

List of positive integer factors of 78048 that divides 78048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 271, 288, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 8672, 9756, 13008, 19512, 26016, 39024

Step-4: Factors of 78057

List of positive integer factors of 78057 that divides 78048 without a remainder.

1, 3, 7, 9, 21, 27, 49, 59, 63, 147, 177, 189, 413, 441, 531, 1239, 1323, 1593, 2891, 3717, 8673, 11151, 26019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78048 and 78057. The biggest common factor number is the GCF number.
So the greatest common factor 78048 and 78057 is 9.

Also check out the Least Common Multiple of 78048 and 78057