What is the Greatest Common Factor of 57880 and 57889?

Greatest common factor (GCF) of 57880 and 57889 is 1.

GCF(57880,57889) = 1

We will now calculate the prime factors of 57880 and 57889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57880 and 57889.

How to find the GCF of 57880 and 57889?

We will first find the prime factorization of 57880 and 57889. After we will calculate the factors of 57880 and 57889 and find the biggest common factor number .

Step-1: Prime Factorization of 57880

Prime factors of 57880 are 2, 5, 1447. Prime factorization of 57880 in exponential form is:

57880 = 2³ × 5¹ × 1447¹

Step-2: Prime Factorization of 57889

Prime factors of 57889 are 13, 61, 73. Prime factorization of 57889 in exponential form is:

57889 = 13¹ × 61¹ × 73¹

Step-3: Factors of 57880

List of positive integer factors of 57880 that divides 57880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1447, 2894, 5788, 7235, 11576, 14470, 28940

Step-4: Factors of 57889

List of positive integer factors of 57889 that divides 57880 without a remainder.

1, 13, 61, 73, 793, 949, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57880 and 57889. The biggest common factor number is the GCF number.
So the greatest common factor 57880 and 57889 is 1.

Also check out the Least Common Multiple of 57880 and 57889