What is the Greatest Common Factor of 31060 and 31075?

Greatest common factor (GCF) of 31060 and 31075 is 5.

GCF(31060,31075) = 5

We will now calculate the prime factors of 31060 and 31075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31060 and 31075.

How to find the GCF of 31060 and 31075?

We will first find the prime factorization of 31060 and 31075. After we will calculate the factors of 31060 and 31075 and find the biggest common factor number .

Step-1: Prime Factorization of 31060

Prime factors of 31060 are 2, 5, 1553. Prime factorization of 31060 in exponential form is:

31060 = 2² × 5¹ × 1553¹

Step-2: Prime Factorization of 31075

Prime factors of 31075 are 5, 11, 113. Prime factorization of 31075 in exponential form is:

31075 = 5² × 11¹ × 113¹

Step-3: Factors of 31060

List of positive integer factors of 31060 that divides 31060 without a remainder.

1, 2, 4, 5, 10, 20, 1553, 3106, 6212, 7765, 15530

Step-4: Factors of 31075

List of positive integer factors of 31075 that divides 31060 without a remainder.

1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31060 and 31075. The biggest common factor number is the GCF number.
So the greatest common factor 31060 and 31075 is 5.

Also check out the Least Common Multiple of 31060 and 31075