What is the Greatest Common Factor of 57750 and 57770?

Greatest common factor (GCF) of 57750 and 57770 is 10.

GCF(57750,57770) = 10

We will now calculate the prime factors of 57750 and 57770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57750 and 57770.

How to find the GCF of 57750 and 57770?

We will first find the prime factorization of 57750 and 57770. After we will calculate the factors of 57750 and 57770 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 57770

Prime factors of 57770 are 2, 5, 53, 109. Prime factorization of 57770 in exponential form is:

57770 = 2¹ × 5¹ × 53¹ × 109¹

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 57770

List of positive integer factors of 57770 that divides 57750 without a remainder.

1, 2, 5, 10, 53, 106, 109, 218, 265, 530, 545, 1090, 5777, 11554, 28885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57750 and 57770. The biggest common factor number is the GCF number.
So the greatest common factor 57750 and 57770 is 10.

Also check out the Least Common Multiple of 57750 and 57770