What is the Greatest Common Factor of 31645 and 31649?

Greatest common factor (GCF) of 31645 and 31649 is 1.

GCF(31645,31649) = 1

We will now calculate the prime factors of 31645 and 31649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31645 and 31649.

How to find the GCF of 31645 and 31649?

We will first find the prime factorization of 31645 and 31649. After we will calculate the factors of 31645 and 31649 and find the biggest common factor number .

Step-1: Prime Factorization of 31645

Prime factors of 31645 are 5, 6329. Prime factorization of 31645 in exponential form is:

31645 = 5¹ × 6329¹

Step-2: Prime Factorization of 31649

Prime factors of 31649 are 31649. Prime factorization of 31649 in exponential form is:

31649 = 31649¹

Step-3: Factors of 31645

List of positive integer factors of 31645 that divides 31645 without a remainder.

1, 5, 6329

Step-4: Factors of 31649

List of positive integer factors of 31649 that divides 31645 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31645 and 31649. The biggest common factor number is the GCF number.
So the greatest common factor 31645 and 31649 is 1.

Also check out the Least Common Multiple of 31645 and 31649