What is the Greatest Common Factor of 57031 and 57049?

Greatest common factor (GCF) of 57031 and 57049 is 1.

GCF(57031,57049) = 1

We will now calculate the prime factors of 57031 and 57049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57031 and 57049.

How to find the GCF of 57031 and 57049?

We will first find the prime factorization of 57031 and 57049. After we will calculate the factors of 57031 and 57049 and find the biggest common factor number .

Step-1: Prime Factorization of 57031

Prime factors of 57031 are 13, 41, 107. Prime factorization of 57031 in exponential form is:

57031 = 13¹ × 41¹ × 107¹

Step-2: Prime Factorization of 57049

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

57049 = 89¹ × 641¹

Step-3: Factors of 57031

List of positive integer factors of 57031 that divides 57031 without a remainder.

1, 13, 41, 107, 533, 1391, 4387

Step-4: Factors of 57049

List of positive integer factors of 57049 that divides 57031 without a remainder.

1, 89, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57031 and 57049. The biggest common factor number is the GCF number.
So the greatest common factor 57031 and 57049 is 1.

Also check out the Least Common Multiple of 57031 and 57049