What is the Greatest Common Factor of 57148 and 57159?

Greatest common factor (GCF) of 57148 and 57159 is 1.

GCF(57148,57159) = 1

We will now calculate the prime factors of 57148 and 57159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57148 and 57159.

How to find the GCF of 57148 and 57159?

We will first find the prime factorization of 57148 and 57159. After we will calculate the factors of 57148 and 57159 and find the biggest common factor number .

Step-1: Prime Factorization of 57148

Prime factors of 57148 are 2, 7, 13, 157. Prime factorization of 57148 in exponential form is:

57148 = 2² × 7¹ × 13¹ × 157¹

Step-2: Prime Factorization of 57159

Prime factors of 57159 are 3, 29, 73. Prime factorization of 57159 in exponential form is:

57159 = 3³ × 29¹ × 73¹

Step-3: Factors of 57148

List of positive integer factors of 57148 that divides 57148 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 157, 182, 314, 364, 628, 1099, 2041, 2198, 4082, 4396, 8164, 14287, 28574

Step-4: Factors of 57159

List of positive integer factors of 57159 that divides 57148 without a remainder.

1, 3, 9, 27, 29, 73, 87, 219, 261, 657, 783, 1971, 2117, 6351, 19053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57148 and 57159. The biggest common factor number is the GCF number.
So the greatest common factor 57148 and 57159 is 1.

Also check out the Least Common Multiple of 57148 and 57159