What is the Greatest Common Factor of 91419 and 91425?

Greatest common factor (GCF) of 91419 and 91425 is 3.

GCF(91419,91425) = 3

We will now calculate the prime factors of 91419 and 91425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91419 and 91425.

How to find the GCF of 91419 and 91425?

We will first find the prime factorization of 91419 and 91425. After we will calculate the factors of 91419 and 91425 and find the biggest common factor number .

Step-1: Prime Factorization of 91419

Prime factors of 91419 are 3, 31, 983. Prime factorization of 91419 in exponential form is:

91419 = 3¹ × 31¹ × 983¹

Step-2: Prime Factorization of 91425

Prime factors of 91425 are 3, 5, 23, 53. Prime factorization of 91425 in exponential form is:

91425 = 3¹ × 5² × 23¹ × 53¹

Step-3: Factors of 91419

List of positive integer factors of 91419 that divides 91419 without a remainder.

1, 3, 31, 93, 983, 2949, 30473

Step-4: Factors of 91425

List of positive integer factors of 91425 that divides 91419 without a remainder.

1, 3, 5, 15, 23, 25, 53, 69, 75, 115, 159, 265, 345, 575, 795, 1219, 1325, 1725, 3657, 3975, 6095, 18285, 30475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91419 and 91425. The biggest common factor number is the GCF number.
So the greatest common factor 91419 and 91425 is 3.

Also check out the Least Common Multiple of 91419 and 91425