What is the Greatest Common Factor of 33625 and 33643?

Greatest common factor (GCF) of 33625 and 33643 is 1.

GCF(33625,33643) = 1

We will now calculate the prime factors of 33625 and 33643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33625 and 33643.

How to find the GCF of 33625 and 33643?

We will first find the prime factorization of 33625 and 33643. After we will calculate the factors of 33625 and 33643 and find the biggest common factor number .

Step-1: Prime Factorization of 33625

Prime factors of 33625 are 5, 269. Prime factorization of 33625 in exponential form is:

33625 = 5³ × 269¹

Step-2: Prime Factorization of 33643

Prime factors of 33643 are 17, 1979. Prime factorization of 33643 in exponential form is:

33643 = 17¹ × 1979¹

Step-3: Factors of 33625

List of positive integer factors of 33625 that divides 33625 without a remainder.

1, 5, 25, 125, 269, 1345, 6725

Step-4: Factors of 33643

List of positive integer factors of 33643 that divides 33625 without a remainder.

1, 17, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33625 and 33643. The biggest common factor number is the GCF number.
So the greatest common factor 33625 and 33643 is 1.

Also check out the Least Common Multiple of 33625 and 33643