What is the Greatest Common Factor of 31025 and 31042?

Greatest common factor (GCF) of 31025 and 31042 is 17.

GCF(31025,31042) = 17

We will now calculate the prime factors of 31025 and 31042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31025 and 31042.

How to find the GCF of 31025 and 31042?

We will first find the prime factorization of 31025 and 31042. After we will calculate the factors of 31025 and 31042 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 31042

Prime factors of 31042 are 2, 11, 17, 83. Prime factorization of 31042 in exponential form is:

31042 = 2¹ × 11¹ × 17¹ × 83¹

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 31042

List of positive integer factors of 31042 that divides 31025 without a remainder.

1, 2, 11, 17, 22, 34, 83, 166, 187, 374, 913, 1411, 1826, 2822, 15521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31025 and 31042. The biggest common factor number is the GCF number.
So the greatest common factor 31025 and 31042 is 17.

Also check out the Least Common Multiple of 31025 and 31042