What is the Greatest Common Factor of 57780 and 57786?

Greatest common factor (GCF) of 57780 and 57786 is 6.

GCF(57780,57786) = 6

We will now calculate the prime factors of 57780 and 57786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57780 and 57786.

How to find the GCF of 57780 and 57786?

We will first find the prime factorization of 57780 and 57786. After we will calculate the factors of 57780 and 57786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57786

Prime factors of 57786 are 2, 3, 9631. Prime factorization of 57786 in exponential form is:

57786 = 2¹ × 3¹ × 9631¹

Step-3: Factors of 57780

List of positive integer factors of 57780 that divides 57780 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

Step-4: Factors of 57786

List of positive integer factors of 57786 that divides 57780 without a remainder.

1, 2, 3, 6, 9631, 19262, 28893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57780 and 57786. The biggest common factor number is the GCF number.
So the greatest common factor 57780 and 57786 is 6.

Also check out the Least Common Multiple of 57780 and 57786