What is the Greatest Common Factor of 57720 and 57725?

Greatest common factor (GCF) of 57720 and 57725 is 5.

GCF(57720,57725) = 5

We will now calculate the prime factors of 57720 and 57725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57720 and 57725.

How to find the GCF of 57720 and 57725?

We will first find the prime factorization of 57720 and 57725. After we will calculate the factors of 57720 and 57725 and find the biggest common factor number .

Step-1: Prime Factorization of 57720

Prime factors of 57720 are 2, 3, 5, 13, 37. Prime factorization of 57720 in exponential form is:

57720 = 2³ × 3¹ × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 57725

Prime factors of 57725 are 5, 2309. Prime factorization of 57725 in exponential form is:

57725 = 5² × 2309¹

Step-3: Factors of 57720

List of positive integer factors of 57720 that divides 57720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 37, 39, 40, 52, 60, 65, 74, 78, 104, 111, 120, 130, 148, 156, 185, 195, 222, 260, 296, 312, 370, 390, 444, 481, 520, 555, 740, 780, 888, 962, 1110, 1443, 1480, 1560, 1924, 2220, 2405, 2886, 3848, 4440, 4810, 5772, 7215, 9620, 11544, 14430, 19240, 28860

Step-4: Factors of 57725

List of positive integer factors of 57725 that divides 57720 without a remainder.

1, 5, 25, 2309, 11545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57720 and 57725. The biggest common factor number is the GCF number.
So the greatest common factor 57720 and 57725 is 5.

Also check out the Least Common Multiple of 57720 and 57725