What is the Greatest Common Factor of 34725 and 34731?

Greatest common factor (GCF) of 34725 and 34731 is 3.

GCF(34725,34731) = 3

We will now calculate the prime factors of 34725 and 34731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34725 and 34731.

How to find the GCF of 34725 and 34731?

We will first find the prime factorization of 34725 and 34731. After we will calculate the factors of 34725 and 34731 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 34731

Prime factors of 34731 are 3, 17, 227. Prime factorization of 34731 in exponential form is:

34731 = 3² × 17¹ × 227¹

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 34731

List of positive integer factors of 34731 that divides 34725 without a remainder.

1, 3, 9, 17, 51, 153, 227, 681, 2043, 3859, 11577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34725 and 34731. The biggest common factor number is the GCF number.
So the greatest common factor 34725 and 34731 is 3.

Also check out the Least Common Multiple of 34725 and 34731