What is the Greatest Common Factor of 31264 and 31274?

Greatest common factor (GCF) of 31264 and 31274 is 2.

GCF(31264,31274) = 2

We will now calculate the prime factors of 31264 and 31274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31264 and 31274.

How to find the GCF of 31264 and 31274?

We will first find the prime factorization of 31264 and 31274. After we will calculate the factors of 31264 and 31274 and find the biggest common factor number .

Step-1: Prime Factorization of 31264

Prime factors of 31264 are 2, 977. Prime factorization of 31264 in exponential form is:

31264 = 2⁵ × 977¹

Step-2: Prime Factorization of 31274

Prime factors of 31274 are 2, 19, 823. Prime factorization of 31274 in exponential form is:

31274 = 2¹ × 19¹ × 823¹

Step-3: Factors of 31264

List of positive integer factors of 31264 that divides 31264 without a remainder.

1, 2, 4, 8, 16, 32, 977, 1954, 3908, 7816, 15632

Step-4: Factors of 31274

List of positive integer factors of 31274 that divides 31264 without a remainder.

1, 2, 19, 38, 823, 1646, 15637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31264 and 31274. The biggest common factor number is the GCF number.
So the greatest common factor 31264 and 31274 is 2.

Also check out the Least Common Multiple of 31264 and 31274