What is the Greatest Common Factor of 57049 and 57058?

Greatest common factor (GCF) of 57049 and 57058 is 1.

GCF(57049,57058) = 1

We will now calculate the prime factors of 57049 and 57058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57049 and 57058.

How to find the GCF of 57049 and 57058?

We will first find the prime factorization of 57049 and 57058. After we will calculate the factors of 57049 and 57058 and find the biggest common factor number .

Step-1: Prime Factorization of 57049

Prime factors of 57049 are 89, 641. Prime factorization of 57049 in exponential form is:

57049 = 89¹ × 641¹

Step-2: Prime Factorization of 57058

Prime factors of 57058 are 2, 47, 607. Prime factorization of 57058 in exponential form is:

57058 = 2¹ × 47¹ × 607¹

Step-3: Factors of 57049

List of positive integer factors of 57049 that divides 57049 without a remainder.

1, 89, 641

Step-4: Factors of 57058

List of positive integer factors of 57058 that divides 57049 without a remainder.

1, 2, 47, 94, 607, 1214, 28529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57049 and 57058. The biggest common factor number is the GCF number.
So the greatest common factor 57049 and 57058 is 1.

Also check out the Least Common Multiple of 57049 and 57058