What is the Greatest Common Factor of 57666 and 57680?

Greatest common factor (GCF) of 57666 and 57680 is 14.

GCF(57666,57680) = 14

We will now calculate the prime factors of 57666 and 57680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57666 and 57680.

How to find the GCF of 57666 and 57680?

We will first find the prime factorization of 57666 and 57680. After we will calculate the factors of 57666 and 57680 and find the biggest common factor number .

Step-1: Prime Factorization of 57666

Prime factors of 57666 are 2, 3, 7, 1373. Prime factorization of 57666 in exponential form is:

57666 = 2¹ × 3¹ × 7¹ × 1373¹

Step-2: Prime Factorization of 57680

Prime factors of 57680 are 2, 5, 7, 103. Prime factorization of 57680 in exponential form is:

57680 = 2⁴ × 5¹ × 7¹ × 103¹

Step-3: Factors of 57666

List of positive integer factors of 57666 that divides 57666 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1373, 2746, 4119, 8238, 9611, 19222, 28833

Step-4: Factors of 57680

List of positive integer factors of 57680 that divides 57666 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 103, 112, 140, 206, 280, 412, 515, 560, 721, 824, 1030, 1442, 1648, 2060, 2884, 3605, 4120, 5768, 7210, 8240, 11536, 14420, 28840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57666 and 57680. The biggest common factor number is the GCF number.
So the greatest common factor 57666 and 57680 is 14.

Also check out the Least Common Multiple of 57666 and 57680