What is the Greatest Common Factor of 57750 and 57765?

Greatest common factor (GCF) of 57750 and 57765 is 15.

GCF(57750,57765) = 15

We will now calculate the prime factors of 57750 and 57765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57750 and 57765.

How to find the GCF of 57750 and 57765?

We will first find the prime factorization of 57750 and 57765. After we will calculate the factors of 57750 and 57765 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 57765

Prime factors of 57765 are 3, 5, 3851. Prime factorization of 57765 in exponential form is:

57765 = 3¹ × 5¹ × 3851¹

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 57765

List of positive integer factors of 57765 that divides 57750 without a remainder.

1, 3, 5, 15, 3851, 11553, 19255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57750 and 57765. The biggest common factor number is the GCF number.
So the greatest common factor 57750 and 57765 is 15.

Also check out the Least Common Multiple of 57750 and 57765