What is the Greatest Common Factor of 57720 and 57733?

Greatest common factor (GCF) of 57720 and 57733 is 13.

GCF(57720,57733) = 13

We will now calculate the prime factors of 57720 and 57733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57720 and 57733.

How to find the GCF of 57720 and 57733?

We will first find the prime factorization of 57720 and 57733. After we will calculate the factors of 57720 and 57733 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 57733

Prime factors of 57733 are 13, 4441. Prime factorization of 57733 in exponential form is:

57733 = 13¹ × 4441¹

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 57733

List of positive integer factors of 57733 that divides 57720 without a remainder.

1, 13, 4441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57720 and 57733. The biggest common factor number is the GCF number.
So the greatest common factor 57720 and 57733 is 13.

Also check out the Least Common Multiple of 57720 and 57733