What is the Greatest Common Factor of 53745 and 53751?

Greatest common factor (GCF) of 53745 and 53751 is 3.

GCF(53745,53751) = 3

We will now calculate the prime factors of 53745 and 53751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53745 and 53751.

How to find the GCF of 53745 and 53751?

We will first find the prime factorization of 53745 and 53751. After we will calculate the factors of 53745 and 53751 and find the biggest common factor number .

Step-1: Prime Factorization of 53745

Prime factors of 53745 are 3, 5, 3583. Prime factorization of 53745 in exponential form is:

53745 = 3¹ × 5¹ × 3583¹

Step-2: Prime Factorization of 53751

Prime factors of 53751 are 3, 19, 23, 41. Prime factorization of 53751 in exponential form is:

53751 = 3¹ × 19¹ × 23¹ × 41¹

Step-3: Factors of 53745

List of positive integer factors of 53745 that divides 53745 without a remainder.

1, 3, 5, 15, 3583, 10749, 17915

Step-4: Factors of 53751

List of positive integer factors of 53751 that divides 53745 without a remainder.

1, 3, 19, 23, 41, 57, 69, 123, 437, 779, 943, 1311, 2337, 2829, 17917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53745 and 53751. The biggest common factor number is the GCF number.
So the greatest common factor 53745 and 53751 is 3.

Also check out the Least Common Multiple of 53745 and 53751