What is the Greatest Common Factor of 31049 and 31061?

Greatest common factor (GCF) of 31049 and 31061 is 1.

GCF(31049,31061) = 1

We will now calculate the prime factors of 31049 and 31061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31049 and 31061.

How to find the GCF of 31049 and 31061?

We will first find the prime factorization of 31049 and 31061. After we will calculate the factors of 31049 and 31061 and find the biggest common factor number .

Step-1: Prime Factorization of 31049

Prime factors of 31049 are 61, 509. Prime factorization of 31049 in exponential form is:

31049 = 61¹ × 509¹

Step-2: Prime Factorization of 31061

Prime factors of 31061 are 89, 349. Prime factorization of 31061 in exponential form is:

31061 = 89¹ × 349¹

Step-3: Factors of 31049

List of positive integer factors of 31049 that divides 31049 without a remainder.

1, 61, 509

Step-4: Factors of 31061

List of positive integer factors of 31061 that divides 31049 without a remainder.

1, 89, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31049 and 31061. The biggest common factor number is the GCF number.
So the greatest common factor 31049 and 31061 is 1.

Also check out the Least Common Multiple of 31049 and 31061