What is the Greatest Common Factor of 57750 and 57764?

Greatest common factor (GCF) of 57750 and 57764 is 14.

GCF(57750,57764) = 14

We will now calculate the prime factors of 57750 and 57764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57750 and 57764.

How to find the GCF of 57750 and 57764?

We will first find the prime factorization of 57750 and 57764. After we will calculate the factors of 57750 and 57764 and find the biggest common factor number .

Step-1: Prime Factorization of 57750

Prime factors of 57750 are 2, 3, 5, 7, 11. Prime factorization of 57750 in exponential form is:

57750 = 2¹ × 3¹ × 5³ × 7¹ × 11¹

Step-2: Prime Factorization of 57764

Prime factors of 57764 are 2, 7, 2063. Prime factorization of 57764 in exponential form is:

57764 = 2² × 7¹ × 2063¹

Step-3: Factors of 57750

List of positive integer factors of 57750 that divides 57750 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 25, 30, 33, 35, 42, 50, 55, 66, 70, 75, 77, 105, 110, 125, 150, 154, 165, 175, 210, 231, 250, 275, 330, 350, 375, 385, 462, 525, 550, 750, 770, 825, 875, 1050, 1155, 1375, 1650, 1750, 1925, 2310, 2625, 2750, 3850, 4125, 5250, 5775, 8250, 9625, 11550, 19250, 28875

Step-4: Factors of 57764

List of positive integer factors of 57764 that divides 57750 without a remainder.

1, 2, 4, 7, 14, 28, 2063, 4126, 8252, 14441, 28882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57750 and 57764. The biggest common factor number is the GCF number.
So the greatest common factor 57750 and 57764 is 14.

Also check out the Least Common Multiple of 57750 and 57764