What is the Greatest Common Factor of 13046 and 13057?

Greatest common factor (GCF) of 13046 and 13057 is 11.

GCF(13046,13057) = 11

We will now calculate the prime factors of 13046 and 13057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13046 and 13057.

How to find the GCF of 13046 and 13057?

We will first find the prime factorization of 13046 and 13057. After we will calculate the factors of 13046 and 13057 and find the biggest common factor number .

Step-1: Prime Factorization of 13046

Prime factors of 13046 are 2, 11, 593. Prime factorization of 13046 in exponential form is:

13046 = 2¹ × 11¹ × 593¹

Step-2: Prime Factorization of 13057

Prime factors of 13057 are 11, 1187. Prime factorization of 13057 in exponential form is:

13057 = 11¹ × 1187¹

Step-3: Factors of 13046

List of positive integer factors of 13046 that divides 13046 without a remainder.

1, 2, 11, 22, 593, 1186, 6523

Step-4: Factors of 13057

List of positive integer factors of 13057 that divides 13046 without a remainder.

1, 11, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13046 and 13057. The biggest common factor number is the GCF number.
So the greatest common factor 13046 and 13057 is 11.

Also check out the Least Common Multiple of 13046 and 13057