What is the Greatest Common Factor of 33611 and 33625?

Greatest common factor (GCF) of 33611 and 33625 is 1.

GCF(33611,33625) = 1

We will now calculate the prime factors of 33611 and 33625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33611 and 33625.

How to find the GCF of 33611 and 33625?

We will first find the prime factorization of 33611 and 33625. After we will calculate the factors of 33611 and 33625 and find the biggest common factor number .

Step-1: Prime Factorization of 33611

Prime factors of 33611 are 19, 29, 61. Prime factorization of 33611 in exponential form is:

33611 = 19¹ × 29¹ × 61¹

Step-2: Prime Factorization of 33625

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

33625 = 5³ × 269¹

Step-3: Factors of 33611

List of positive integer factors of 33611 that divides 33611 without a remainder.

1, 19, 29, 61, 551, 1159, 1769

Step-4: Factors of 33625

List of positive integer factors of 33625 that divides 33611 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33611 and 33625. The biggest common factor number is the GCF number.
So the greatest common factor 33611 and 33625 is 1.

Also check out the Least Common Multiple of 33611 and 33625