What is the Greatest Common Factor of 31472 and 31484?

Greatest common factor (GCF) of 31472 and 31484 is 4.

GCF(31472,31484) = 4

We will now calculate the prime factors of 31472 and 31484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31472 and 31484.

How to find the GCF of 31472 and 31484?

We will first find the prime factorization of 31472 and 31484. After we will calculate the factors of 31472 and 31484 and find the biggest common factor number .

Step-1: Prime Factorization of 31472

Prime factors of 31472 are 2, 7, 281. Prime factorization of 31472 in exponential form is:

31472 = 2⁴ × 7¹ × 281¹

Step-2: Prime Factorization of 31484

Prime factors of 31484 are 2, 17, 463. Prime factorization of 31484 in exponential form is:

31484 = 2² × 17¹ × 463¹

Step-3: Factors of 31472

List of positive integer factors of 31472 that divides 31472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 281, 562, 1124, 1967, 2248, 3934, 4496, 7868, 15736

Step-4: Factors of 31484

List of positive integer factors of 31484 that divides 31472 without a remainder.

1, 2, 4, 17, 34, 68, 463, 926, 1852, 7871, 15742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31472 and 31484. The biggest common factor number is the GCF number.
So the greatest common factor 31472 and 31484 is 4.

Also check out the Least Common Multiple of 31472 and 31484