What is the Greatest Common Factor of 56748 and 56763?

Greatest common factor (GCF) of 56748 and 56763 is 3.

GCF(56748,56763) = 3

We will now calculate the prime factors of 56748 and 56763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56748 and 56763.

How to find the GCF of 56748 and 56763?

We will first find the prime factorization of 56748 and 56763. After we will calculate the factors of 56748 and 56763 and find the biggest common factor number .

Step-1: Prime Factorization of 56748

Prime factors of 56748 are 2, 3, 4729. Prime factorization of 56748 in exponential form is:

56748 = 2² × 3¹ × 4729¹

Step-2: Prime Factorization of 56763

Prime factors of 56763 are 3, 7, 17, 53. Prime factorization of 56763 in exponential form is:

56763 = 3² × 7¹ × 17¹ × 53¹

Step-3: Factors of 56748

List of positive integer factors of 56748 that divides 56748 without a remainder.

1, 2, 3, 4, 6, 12, 4729, 9458, 14187, 18916, 28374

Step-4: Factors of 56763

List of positive integer factors of 56763 that divides 56748 without a remainder.

1, 3, 7, 9, 17, 21, 51, 53, 63, 119, 153, 159, 357, 371, 477, 901, 1071, 1113, 2703, 3339, 6307, 8109, 18921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56748 and 56763. The biggest common factor number is the GCF number.
So the greatest common factor 56748 and 56763 is 3.

Also check out the Least Common Multiple of 56748 and 56763