What is the Greatest Common Factor of 57750 and 57758?

Greatest common factor (GCF) of 57750 and 57758 is 2.

GCF(57750,57758) = 2

We will now calculate the prime factors of 57750 and 57758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57750 and 57758.

How to find the GCF of 57750 and 57758?

We will first find the prime factorization of 57750 and 57758. After we will calculate the factors of 57750 and 57758 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 57758

Prime factors of 57758 are 2, 28879. Prime factorization of 57758 in exponential form is:

57758 = 2¹ × 28879¹

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 57758

List of positive integer factors of 57758 that divides 57750 without a remainder.

1, 2, 28879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57750 and 57758. The biggest common factor number is the GCF number.
So the greatest common factor 57750 and 57758 is 2.

Also check out the Least Common Multiple of 57750 and 57758