What is the Greatest Common Factor of 57750 and 57761?

Greatest common factor (GCF) of 57750 and 57761 is 11.

GCF(57750,57761) = 11

We will now calculate the prime factors of 57750 and 57761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57750 and 57761.

How to find the GCF of 57750 and 57761?

We will first find the prime factorization of 57750 and 57761. After we will calculate the factors of 57750 and 57761 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 57761

Prime factors of 57761 are 11, 59, 89. Prime factorization of 57761 in exponential form is:

57761 = 11¹ × 59¹ × 89¹

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 57761

List of positive integer factors of 57761 that divides 57750 without a remainder.

1, 11, 59, 89, 649, 979, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57750 and 57761. The biggest common factor number is the GCF number.
So the greatest common factor 57750 and 57761 is 11.

Also check out the Least Common Multiple of 57750 and 57761