What is the Greatest Common Factor of 31057 and 31074?

Greatest common factor (GCF) of 31057 and 31074 is 1.

GCF(31057,31074) = 1

We will now calculate the prime factors of 31057 and 31074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31057 and 31074.

How to find the GCF of 31057 and 31074?

We will first find the prime factorization of 31057 and 31074. After we will calculate the factors of 31057 and 31074 and find the biggest common factor number .

Step-1: Prime Factorization of 31057

Prime factors of 31057 are 13, 2389. Prime factorization of 31057 in exponential form is:

31057 = 13¹ × 2389¹

Step-2: Prime Factorization of 31074

Prime factors of 31074 are 2, 3, 5179. Prime factorization of 31074 in exponential form is:

31074 = 2¹ × 3¹ × 5179¹

Step-3: Factors of 31057

List of positive integer factors of 31057 that divides 31057 without a remainder.

1, 13, 2389

Step-4: Factors of 31074

List of positive integer factors of 31074 that divides 31057 without a remainder.

1, 2, 3, 6, 5179, 10358, 15537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31057 and 31074. The biggest common factor number is the GCF number.
So the greatest common factor 31057 and 31074 is 1.

Also check out the Least Common Multiple of 31057 and 31074