What is the Greatest Common Factor of 57970 and 57981?

Greatest common factor (GCF) of 57970 and 57981 is 11.

GCF(57970,57981) = 11

We will now calculate the prime factors of 57970 and 57981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57970 and 57981.

How to find the GCF of 57970 and 57981?

We will first find the prime factorization of 57970 and 57981. After we will calculate the factors of 57970 and 57981 and find the biggest common factor number .

Step-1: Prime Factorization of 57970

Prime factors of 57970 are 2, 5, 11, 17, 31. Prime factorization of 57970 in exponential form is:

57970 = 2¹ × 5¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 57981

Prime factors of 57981 are 3, 7, 11, 251. Prime factorization of 57981 in exponential form is:

57981 = 3¹ × 7¹ × 11¹ × 251¹

Step-3: Factors of 57970

List of positive integer factors of 57970 that divides 57970 without a remainder.

1, 2, 5, 10, 11, 17, 22, 31, 34, 55, 62, 85, 110, 155, 170, 187, 310, 341, 374, 527, 682, 935, 1054, 1705, 1870, 2635, 3410, 5270, 5797, 11594, 28985

Step-4: Factors of 57981

List of positive integer factors of 57981 that divides 57970 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 251, 753, 1757, 2761, 5271, 8283, 19327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57970 and 57981. The biggest common factor number is the GCF number.
So the greatest common factor 57970 and 57981 is 11.

Also check out the Least Common Multiple of 57970 and 57981