What is the Greatest Common Factor of 57768 and 57780?

Greatest common factor (GCF) of 57768 and 57780 is 12.

GCF(57768,57780) = 12

We will now calculate the prime factors of 57768 and 57780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57768 and 57780.

How to find the GCF of 57768 and 57780?

We will first find the prime factorization of 57768 and 57780. After we will calculate the factors of 57768 and 57780 and find the biggest common factor number .

Step-1: Prime Factorization of 57768

Prime factors of 57768 are 2, 3, 29, 83. Prime factorization of 57768 in exponential form is:

57768 = 2³ × 3¹ × 29¹ × 83¹

Step-2: Prime Factorization of 57780

Prime factors of 57780 are 2, 3, 5, 107. Prime factorization of 57780 in exponential form is:

57780 = 2² × 3³ × 5¹ × 107¹

Step-3: Factors of 57768

List of positive integer factors of 57768 that divides 57768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 83, 87, 116, 166, 174, 232, 249, 332, 348, 498, 664, 696, 996, 1992, 2407, 4814, 7221, 9628, 14442, 19256, 28884

Step-4: Factors of 57780

List of positive integer factors of 57780 that divides 57768 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 107, 108, 135, 180, 214, 270, 321, 428, 535, 540, 642, 963, 1070, 1284, 1605, 1926, 2140, 2889, 3210, 3852, 4815, 5778, 6420, 9630, 11556, 14445, 19260, 28890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57768 and 57780. The biggest common factor number is the GCF number.
So the greatest common factor 57768 and 57780 is 12.

Also check out the Least Common Multiple of 57768 and 57780