What is the Greatest Common Factor of 31069 and 31088?

Greatest common factor (GCF) of 31069 and 31088 is 1.

GCF(31069,31088) = 1

We will now calculate the prime factors of 31069 and 31088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31069 and 31088.

How to find the GCF of 31069 and 31088?

We will first find the prime factorization of 31069 and 31088. After we will calculate the factors of 31069 and 31088 and find the biggest common factor number .

Step-1: Prime Factorization of 31069

Prime factors of 31069 are 31069. Prime factorization of 31069 in exponential form is:

31069 = 31069¹

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 31069

List of positive integer factors of 31069 that divides 31069 without a remainder.

Step-4: Factors of 31088

List of positive integer factors of 31088 that divides 31069 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 31069 and 31088. The biggest common factor number is the GCF number.
So the greatest common factor 31069 and 31088 is 1.

Also check out the Least Common Multiple of 31069 and 31088