What is the Greatest Common Factor of 31049 and 31064?

Greatest common factor (GCF) of 31049 and 31064 is 1.

GCF(31049,31064) = 1

We will now calculate the prime factors of 31049 and 31064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31049 and 31064.

How to find the GCF of 31049 and 31064?

We will first find the prime factorization of 31049 and 31064. After we will calculate the factors of 31049 and 31064 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 31064

Prime factors of 31064 are 2, 11, 353. Prime factorization of 31064 in exponential form is:

31064 = 2³ × 11¹ × 353¹

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 31064

List of positive integer factors of 31064 that divides 31049 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 353, 706, 1412, 2824, 3883, 7766, 15532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31049 and 31064. The biggest common factor number is the GCF number.
So the greatest common factor 31049 and 31064 is 1.

Also check out the Least Common Multiple of 31049 and 31064