What is the Greatest Common Factor of 31120 and 31129?

Greatest common factor (GCF) of 31120 and 31129 is 1.

GCF(31120,31129) = 1

We will now calculate the prime factors of 31120 and 31129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31120 and 31129.

How to find the GCF of 31120 and 31129?

We will first find the prime factorization of 31120 and 31129. After we will calculate the factors of 31120 and 31129 and find the biggest common factor number .

Step-1: Prime Factorization of 31120

Prime factors of 31120 are 2, 5, 389. Prime factorization of 31120 in exponential form is:

31120 = 2⁴ × 5¹ × 389¹

Step-2: Prime Factorization of 31129

Prime factors of 31129 are 7, 4447. Prime factorization of 31129 in exponential form is:

31129 = 7¹ × 4447¹

Step-3: Factors of 31120

List of positive integer factors of 31120 that divides 31120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 389, 778, 1556, 1945, 3112, 3890, 6224, 7780, 15560

Step-4: Factors of 31129

List of positive integer factors of 31129 that divides 31120 without a remainder.

1, 7, 4447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31120 and 31129. The biggest common factor number is the GCF number.
So the greatest common factor 31120 and 31129 is 1.

Also check out the Least Common Multiple of 31120 and 31129