What is the Greatest Common Factor of 53746 and 53757?

Greatest common factor (GCF) of 53746 and 53757 is 11.

GCF(53746,53757) = 11

We will now calculate the prime factors of 53746 and 53757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53746 and 53757.

How to find the GCF of 53746 and 53757?

We will first find the prime factorization of 53746 and 53757. After we will calculate the factors of 53746 and 53757 and find the biggest common factor number .

Step-1: Prime Factorization of 53746

Prime factors of 53746 are 2, 7, 11, 349. Prime factorization of 53746 in exponential form is:

53746 = 2¹ × 7¹ × 11¹ × 349¹

Step-2: Prime Factorization of 53757

Prime factors of 53757 are 3, 11, 181. Prime factorization of 53757 in exponential form is:

53757 = 3³ × 11¹ × 181¹

Step-3: Factors of 53746

List of positive integer factors of 53746 that divides 53746 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 349, 698, 2443, 3839, 4886, 7678, 26873

Step-4: Factors of 53757

List of positive integer factors of 53757 that divides 53746 without a remainder.

1, 3, 9, 11, 27, 33, 99, 181, 297, 543, 1629, 1991, 4887, 5973, 17919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53746 and 53757. The biggest common factor number is the GCF number.
So the greatest common factor 53746 and 53757 is 11.

Also check out the Least Common Multiple of 53746 and 53757