What is the Greatest Common Factor of 91725 and 91734?

Greatest common factor (GCF) of 91725 and 91734 is 3.

GCF(91725,91734) = 3

We will now calculate the prime factors of 91725 and 91734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91725 and 91734.

How to find the GCF of 91725 and 91734?

We will first find the prime factorization of 91725 and 91734. After we will calculate the factors of 91725 and 91734 and find the biggest common factor number .

Step-1: Prime Factorization of 91725

Prime factors of 91725 are 3, 5, 1223. Prime factorization of 91725 in exponential form is:

91725 = 3¹ × 5² × 1223¹

Step-2: Prime Factorization of 91734

Prime factors of 91734 are 2, 3, 15289. Prime factorization of 91734 in exponential form is:

91734 = 2¹ × 3¹ × 15289¹

Step-3: Factors of 91725

List of positive integer factors of 91725 that divides 91725 without a remainder.

1, 3, 5, 15, 25, 75, 1223, 3669, 6115, 18345, 30575

Step-4: Factors of 91734

List of positive integer factors of 91734 that divides 91725 without a remainder.

1, 2, 3, 6, 15289, 30578, 45867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91725 and 91734. The biggest common factor number is the GCF number.
So the greatest common factor 91725 and 91734 is 3.

Also check out the Least Common Multiple of 91725 and 91734