What is the Greatest Common Factor of 31125 and 31139?

Greatest common factor (GCF) of 31125 and 31139 is 1.

GCF(31125,31139) = 1

We will now calculate the prime factors of 31125 and 31139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31125 and 31139.

How to find the GCF of 31125 and 31139?

We will first find the prime factorization of 31125 and 31139. After we will calculate the factors of 31125 and 31139 and find the biggest common factor number .

Step-1: Prime Factorization of 31125

Prime factors of 31125 are 3, 5, 83. Prime factorization of 31125 in exponential form is:

31125 = 3¹ × 5³ × 83¹

Step-2: Prime Factorization of 31139

Prime factors of 31139 are 31139. Prime factorization of 31139 in exponential form is:

31139 = 31139¹

Step-3: Factors of 31125

List of positive integer factors of 31125 that divides 31125 without a remainder.

1, 3, 5, 15, 25, 75, 83, 125, 249, 375, 415, 1245, 2075, 6225, 10375

Step-4: Factors of 31139

List of positive integer factors of 31139 that divides 31125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31125 and 31139. The biggest common factor number is the GCF number.
So the greatest common factor 31125 and 31139 is 1.

Also check out the Least Common Multiple of 31125 and 31139