What is the Greatest Common Factor of 57828 and 57848?

Greatest common factor (GCF) of 57828 and 57848 is 4.

GCF(57828,57848) = 4

We will now calculate the prime factors of 57828 and 57848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57828 and 57848.

How to find the GCF of 57828 and 57848?

We will first find the prime factorization of 57828 and 57848. After we will calculate the factors of 57828 and 57848 and find the biggest common factor number .

Step-1: Prime Factorization of 57828

Prime factors of 57828 are 2, 3, 61, 79. Prime factorization of 57828 in exponential form is:

57828 = 2² × 3¹ × 61¹ × 79¹

Step-2: Prime Factorization of 57848

Prime factors of 57848 are 2, 7, 1033. Prime factorization of 57848 in exponential form is:

57848 = 2³ × 7¹ × 1033¹

Step-3: Factors of 57828

List of positive integer factors of 57828 that divides 57828 without a remainder.

1, 2, 3, 4, 6, 12, 61, 79, 122, 158, 183, 237, 244, 316, 366, 474, 732, 948, 4819, 9638, 14457, 19276, 28914

Step-4: Factors of 57848

List of positive integer factors of 57848 that divides 57828 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1033, 2066, 4132, 7231, 8264, 14462, 28924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57828 and 57848. The biggest common factor number is the GCF number.
So the greatest common factor 57828 and 57848 is 4.

Also check out the Least Common Multiple of 57828 and 57848