What is the Greatest Common Factor of 46057 and 46068?

Greatest common factor (GCF) of 46057 and 46068 is 11.

GCF(46057,46068) = 11

We will now calculate the prime factors of 46057 and 46068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46057 and 46068.

How to find the GCF of 46057 and 46068?

We will first find the prime factorization of 46057 and 46068. After we will calculate the factors of 46057 and 46068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46068

Prime factors of 46068 are 2, 3, 11, 349. Prime factorization of 46068 in exponential form is:

46068 = 2² × 3¹ × 11¹ × 349¹

Step-3: Factors of 46057

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

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

Step-4: Factors of 46068

List of positive integer factors of 46068 that divides 46057 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 349, 698, 1047, 1396, 2094, 3839, 4188, 7678, 11517, 15356, 23034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46057 and 46068. The biggest common factor number is the GCF number.
So the greatest common factor 46057 and 46068 is 11.

Also check out the Least Common Multiple of 46057 and 46068