What is the Greatest Common Factor of 31025 and 31035?

Greatest common factor (GCF) of 31025 and 31035 is 5.

GCF(31025,31035) = 5

We will now calculate the prime factors of 31025 and 31035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31025 and 31035.

How to find the GCF of 31025 and 31035?

We will first find the prime factorization of 31025 and 31035. After we will calculate the factors of 31025 and 31035 and find the biggest common factor number .

Step-1: Prime Factorization of 31025

Prime factors of 31025 are 5, 17, 73. Prime factorization of 31025 in exponential form is:

31025 = 5² × 17¹ × 73¹

Step-2: Prime Factorization of 31035

Prime factors of 31035 are 3, 5, 2069. Prime factorization of 31035 in exponential form is:

31035 = 3¹ × 5¹ × 2069¹

Step-3: Factors of 31025

List of positive integer factors of 31025 that divides 31025 without a remainder.

1, 5, 17, 25, 73, 85, 365, 425, 1241, 1825, 6205

Step-4: Factors of 31035

List of positive integer factors of 31035 that divides 31025 without a remainder.

1, 3, 5, 15, 2069, 6207, 10345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31025 and 31035. The biggest common factor number is the GCF number.
So the greatest common factor 31025 and 31035 is 5.

Also check out the Least Common Multiple of 31025 and 31035