What is the Greatest Common Factor of 46046 and 46057?

Greatest common factor (GCF) of 46046 and 46057 is 11.

GCF(46046,46057) = 11

We will now calculate the prime factors of 46046 and 46057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46046 and 46057.

How to find the GCF of 46046 and 46057?

We will first find the prime factorization of 46046 and 46057. After we will calculate the factors of 46046 and 46057 and find the biggest common factor number .

Step-1: Prime Factorization of 46046

Prime factors of 46046 are 2, 7, 11, 13, 23. Prime factorization of 46046 in exponential form is:

46046 = 2¹ × 7¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 46057

Prime factors of 46057 are 11, 53, 79. Prime factorization of 46057 in exponential form is:

46057 = 11¹ × 53¹ × 79¹

Step-3: Factors of 46046

List of positive integer factors of 46046 that divides 46046 without a remainder.

1, 2, 7, 11, 13, 14, 22, 23, 26, 46, 77, 91, 143, 154, 161, 182, 253, 286, 299, 322, 506, 598, 1001, 1771, 2002, 2093, 3289, 3542, 4186, 6578, 23023

Step-4: Factors of 46057

List of positive integer factors of 46057 that divides 46046 without a remainder.

1, 11, 53, 79, 583, 869, 4187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46046 and 46057. The biggest common factor number is the GCF number.
So the greatest common factor 46046 and 46057 is 11.

Also check out the Least Common Multiple of 46046 and 46057