What is the Greatest Common Factor of 31072 and 31088?

Greatest common factor (GCF) of 31072 and 31088 is 16.

GCF(31072,31088) = 16

We will now calculate the prime factors of 31072 and 31088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31072 and 31088.

How to find the GCF of 31072 and 31088?

We will first find the prime factorization of 31072 and 31088. After we will calculate the factors of 31072 and 31088 and find the biggest common factor number .

Step-1: Prime Factorization of 31072

Prime factors of 31072 are 2, 971. Prime factorization of 31072 in exponential form is:

31072 = 2⁵ × 971¹

Step-2: Prime Factorization of 31088

Prime factors of 31088 are 2, 29, 67. Prime factorization of 31088 in exponential form is:

31088 = 2⁴ × 29¹ × 67¹

Step-3: Factors of 31072

List of positive integer factors of 31072 that divides 31072 without a remainder.

1, 2, 4, 8, 16, 32, 971, 1942, 3884, 7768, 15536

Step-4: Factors of 31088

List of positive integer factors of 31088 that divides 31072 without a remainder.

1, 2, 4, 8, 16, 29, 58, 67, 116, 134, 232, 268, 464, 536, 1072, 1943, 3886, 7772, 15544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31072 and 31088. The biggest common factor number is the GCF number.
So the greatest common factor 31072 and 31088 is 16.

Also check out the Least Common Multiple of 31072 and 31088