What is the Greatest Common Factor of 31474 and 31480?

Greatest common factor (GCF) of 31474 and 31480 is 2.

GCF(31474,31480) = 2

We will now calculate the prime factors of 31474 and 31480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31474 and 31480.

How to find the GCF of 31474 and 31480?

We will first find the prime factorization of 31474 and 31480. After we will calculate the factors of 31474 and 31480 and find the biggest common factor number .

Step-1: Prime Factorization of 31474

Prime factors of 31474 are 2, 15737. Prime factorization of 31474 in exponential form is:

31474 = 2¹ × 15737¹

Step-2: Prime Factorization of 31480

Prime factors of 31480 are 2, 5, 787. Prime factorization of 31480 in exponential form is:

31480 = 2³ × 5¹ × 787¹

Step-3: Factors of 31474

List of positive integer factors of 31474 that divides 31474 without a remainder.

1, 2, 15737

Step-4: Factors of 31480

List of positive integer factors of 31480 that divides 31474 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 787, 1574, 3148, 3935, 6296, 7870, 15740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31474 and 31480. The biggest common factor number is the GCF number.
So the greatest common factor 31474 and 31480 is 2.

Also check out the Least Common Multiple of 31474 and 31480