What is the Greatest Common Factor of 31214 and 31225?

Greatest common factor (GCF) of 31214 and 31225 is 1.

GCF(31214,31225) = 1

We will now calculate the prime factors of 31214 and 31225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31214 and 31225.

How to find the GCF of 31214 and 31225?

We will first find the prime factorization of 31214 and 31225. After we will calculate the factors of 31214 and 31225 and find the biggest common factor number .

Step-1: Prime Factorization of 31214

Prime factors of 31214 are 2, 15607. Prime factorization of 31214 in exponential form is:

31214 = 2¹ × 15607¹

Step-2: Prime Factorization of 31225

Prime factors of 31225 are 5, 1249. Prime factorization of 31225 in exponential form is:

31225 = 5² × 1249¹

Step-3: Factors of 31214

List of positive integer factors of 31214 that divides 31214 without a remainder.

1, 2, 15607

Step-4: Factors of 31225

List of positive integer factors of 31225 that divides 31214 without a remainder.

1, 5, 25, 1249, 6245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31214 and 31225. The biggest common factor number is the GCF number.
So the greatest common factor 31214 and 31225 is 1.

Also check out the Least Common Multiple of 31214 and 31225