What is the Greatest Common Factor of 33725 and 33731?

Greatest common factor (GCF) of 33725 and 33731 is 1.

GCF(33725,33731) = 1

We will now calculate the prime factors of 33725 and 33731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33725 and 33731.

How to find the GCF of 33725 and 33731?

We will first find the prime factorization of 33725 and 33731. After we will calculate the factors of 33725 and 33731 and find the biggest common factor number .

Step-1: Prime Factorization of 33725

Prime factors of 33725 are 5, 19, 71. Prime factorization of 33725 in exponential form is:

33725 = 5² × 19¹ × 71¹

Step-2: Prime Factorization of 33731

Prime factors of 33731 are 89, 379. Prime factorization of 33731 in exponential form is:

33731 = 89¹ × 379¹

Step-3: Factors of 33725

List of positive integer factors of 33725 that divides 33725 without a remainder.

1, 5, 19, 25, 71, 95, 355, 475, 1349, 1775, 6745

Step-4: Factors of 33731

List of positive integer factors of 33731 that divides 33725 without a remainder.

1, 89, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33725 and 33731. The biggest common factor number is the GCF number.
So the greatest common factor 33725 and 33731 is 1.

Also check out the Least Common Multiple of 33725 and 33731