What is the Greatest Common Factor of 56746 and 56763?

Greatest common factor (GCF) of 56746 and 56763 is 17.

GCF(56746,56763) = 17

We will now calculate the prime factors of 56746 and 56763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56746 and 56763.

How to find the GCF of 56746 and 56763?

We will first find the prime factorization of 56746 and 56763. After we will calculate the factors of 56746 and 56763 and find the biggest common factor number .

Step-1: Prime Factorization of 56746

Prime factors of 56746 are 2, 17, 1669. Prime factorization of 56746 in exponential form is:

56746 = 2¹ × 17¹ × 1669¹

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 56746

List of positive integer factors of 56746 that divides 56746 without a remainder.

1, 2, 17, 34, 1669, 3338, 28373

Step-4: Factors of 56763

List of positive integer factors of 56763 that divides 56746 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 56746 and 56763. The biggest common factor number is the GCF number.
So the greatest common factor 56746 and 56763 is 17.

Also check out the Least Common Multiple of 56746 and 56763