What is the Greatest Common Factor of 57096 and 57109?

Greatest common factor (GCF) of 57096 and 57109 is 13.

GCF(57096,57109) = 13

We will now calculate the prime factors of 57096 and 57109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57096 and 57109.

How to find the GCF of 57096 and 57109?

We will first find the prime factorization of 57096 and 57109. After we will calculate the factors of 57096 and 57109 and find the biggest common factor number .

Step-1: Prime Factorization of 57096

Prime factors of 57096 are 2, 3, 13, 61. Prime factorization of 57096 in exponential form is:

57096 = 2³ × 3² × 13¹ × 61¹

Step-2: Prime Factorization of 57109

Prime factors of 57109 are 13, 23, 191. Prime factorization of 57109 in exponential form is:

57109 = 13¹ × 23¹ × 191¹

Step-3: Factors of 57096

List of positive integer factors of 57096 that divides 57096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 61, 72, 78, 104, 117, 122, 156, 183, 234, 244, 312, 366, 468, 488, 549, 732, 793, 936, 1098, 1464, 1586, 2196, 2379, 3172, 4392, 4758, 6344, 7137, 9516, 14274, 19032, 28548

Step-4: Factors of 57109

List of positive integer factors of 57109 that divides 57096 without a remainder.

1, 13, 23, 191, 299, 2483, 4393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57096 and 57109. The biggest common factor number is the GCF number.
So the greatest common factor 57096 and 57109 is 13.

Also check out the Least Common Multiple of 57096 and 57109