What is the Greatest Common Factor of 34725 and 34733?

Greatest common factor (GCF) of 34725 and 34733 is 1.

GCF(34725,34733) = 1

We will now calculate the prime factors of 34725 and 34733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34725 and 34733.

How to find the GCF of 34725 and 34733?

We will first find the prime factorization of 34725 and 34733. After we will calculate the factors of 34725 and 34733 and find the biggest common factor number .

Step-1: Prime Factorization of 34725

Prime factors of 34725 are 3, 5, 463. Prime factorization of 34725 in exponential form is:

34725 = 3¹ × 5² × 463¹

Step-2: Prime Factorization of 34733

Prime factors of 34733 are 47, 739. Prime factorization of 34733 in exponential form is:

34733 = 47¹ × 739¹

Step-3: Factors of 34725

List of positive integer factors of 34725 that divides 34725 without a remainder.

1, 3, 5, 15, 25, 75, 463, 1389, 2315, 6945, 11575

Step-4: Factors of 34733

List of positive integer factors of 34733 that divides 34725 without a remainder.

1, 47, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34725 and 34733. The biggest common factor number is the GCF number.
So the greatest common factor 34725 and 34733 is 1.

Also check out the Least Common Multiple of 34725 and 34733