What is the Greatest Common Factor of 31205 and 31220?

Greatest common factor (GCF) of 31205 and 31220 is 5.

GCF(31205,31220) = 5

We will now calculate the prime factors of 31205 and 31220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31205 and 31220.

How to find the GCF of 31205 and 31220?

We will first find the prime factorization of 31205 and 31220. After we will calculate the factors of 31205 and 31220 and find the biggest common factor number .

Step-1: Prime Factorization of 31205

Prime factors of 31205 are 5, 79. Prime factorization of 31205 in exponential form is:

31205 = 5¹ × 79²

Step-2: Prime Factorization of 31220

Prime factors of 31220 are 2, 5, 7, 223. Prime factorization of 31220 in exponential form is:

31220 = 2² × 5¹ × 7¹ × 223¹

Step-3: Factors of 31205

List of positive integer factors of 31205 that divides 31205 without a remainder.

1, 5, 79, 395, 6241

Step-4: Factors of 31220

List of positive integer factors of 31220 that divides 31205 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 223, 446, 892, 1115, 1561, 2230, 3122, 4460, 6244, 7805, 15610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31205 and 31220. The biggest common factor number is the GCF number.
So the greatest common factor 31205 and 31220 is 5.

Also check out the Least Common Multiple of 31205 and 31220