What is the Greatest Common Factor of 63048 and 63057?

Greatest common factor (GCF) of 63048 and 63057 is 3.

GCF(63048,63057) = 3

We will now calculate the prime factors of 63048 and 63057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63048 and 63057.

How to find the GCF of 63048 and 63057?

We will first find the prime factorization of 63048 and 63057. After we will calculate the factors of 63048 and 63057 and find the biggest common factor number .

Step-1: Prime Factorization of 63048

Prime factors of 63048 are 2, 3, 37, 71. Prime factorization of 63048 in exponential form is:

63048 = 2³ × 3¹ × 37¹ × 71¹

Step-2: Prime Factorization of 63057

Prime factors of 63057 are 3, 21019. Prime factorization of 63057 in exponential form is:

63057 = 3¹ × 21019¹

Step-3: Factors of 63048

List of positive integer factors of 63048 that divides 63048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 71, 74, 111, 142, 148, 213, 222, 284, 296, 426, 444, 568, 852, 888, 1704, 2627, 5254, 7881, 10508, 15762, 21016, 31524

Step-4: Factors of 63057

List of positive integer factors of 63057 that divides 63048 without a remainder.

1, 3, 21019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63048 and 63057. The biggest common factor number is the GCF number.
So the greatest common factor 63048 and 63057 is 3.

Also check out the Least Common Multiple of 63048 and 63057