What is the Greatest Common Factor of 31625 and 31643?

Greatest common factor (GCF) of 31625 and 31643 is 1.

GCF(31625,31643) = 1

We will now calculate the prime factors of 31625 and 31643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31625 and 31643.

How to find the GCF of 31625 and 31643?

We will first find the prime factorization of 31625 and 31643. After we will calculate the factors of 31625 and 31643 and find the biggest common factor number .

Step-1: Prime Factorization of 31625

Prime factors of 31625 are 5, 11, 23. Prime factorization of 31625 in exponential form is:

31625 = 5³ × 11¹ × 23¹

Step-2: Prime Factorization of 31643

Prime factors of 31643 are 31643. Prime factorization of 31643 in exponential form is:

31643 = 31643¹

Step-3: Factors of 31625

List of positive integer factors of 31625 that divides 31625 without a remainder.

1, 5, 11, 23, 25, 55, 115, 125, 253, 275, 575, 1265, 1375, 2875, 6325

Step-4: Factors of 31643

List of positive integer factors of 31643 that divides 31625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31625 and 31643. The biggest common factor number is the GCF number.
So the greatest common factor 31625 and 31643 is 1.

Also check out the Least Common Multiple of 31625 and 31643