What is the Greatest Common Factor of 57720 and 57732?

Greatest common factor (GCF) of 57720 and 57732 is 12.

GCF(57720,57732) = 12

We will now calculate the prime factors of 57720 and 57732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57720 and 57732.

How to find the GCF of 57720 and 57732?

We will first find the prime factorization of 57720 and 57732. After we will calculate the factors of 57720 and 57732 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 57732

Prime factors of 57732 are 2, 3, 17, 283. Prime factorization of 57732 in exponential form is:

57732 = 2² × 3¹ × 17¹ × 283¹

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 57732

List of positive integer factors of 57732 that divides 57720 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 283, 566, 849, 1132, 1698, 3396, 4811, 9622, 14433, 19244, 28866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57720 and 57732. The biggest common factor number is the GCF number.
So the greatest common factor 57720 and 57732 is 12.

Also check out the Least Common Multiple of 57720 and 57732