What is the Greatest Common Factor of 91425 and 91438?

Greatest common factor (GCF) of 91425 and 91438 is 1.

GCF(91425,91438) = 1

We will now calculate the prime factors of 91425 and 91438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91425 and 91438.

How to find the GCF of 91425 and 91438?

We will first find the prime factorization of 91425 and 91438. After we will calculate the factors of 91425 and 91438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91438

Prime factors of 91438 are 2, 131, 349. Prime factorization of 91438 in exponential form is:

91438 = 2¹ × 131¹ × 349¹

Step-3: Factors of 91425

List of positive integer factors of 91425 that divides 91425 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

Step-4: Factors of 91438

List of positive integer factors of 91438 that divides 91425 without a remainder.

1, 2, 131, 262, 349, 698, 45719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91425 and 91438. The biggest common factor number is the GCF number.
So the greatest common factor 91425 and 91438 is 1.

Also check out the Least Common Multiple of 91425 and 91438