What is the Greatest Common Factor of 91449 and 91462?

Greatest common factor (GCF) of 91449 and 91462 is 1.

GCF(91449,91462) = 1

We will now calculate the prime factors of 91449 and 91462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91449 and 91462.

How to find the GCF of 91449 and 91462?

We will first find the prime factorization of 91449 and 91462. After we will calculate the factors of 91449 and 91462 and find the biggest common factor number .

Step-1: Prime Factorization of 91449

Prime factors of 91449 are 3, 1129. Prime factorization of 91449 in exponential form is:

91449 = 3⁴ × 1129¹

Step-2: Prime Factorization of 91462

Prime factors of 91462 are 2, 7, 47, 139. Prime factorization of 91462 in exponential form is:

91462 = 2¹ × 7¹ × 47¹ × 139¹

Step-3: Factors of 91449

List of positive integer factors of 91449 that divides 91449 without a remainder.

1, 3, 9, 27, 81, 1129, 3387, 10161, 30483

Step-4: Factors of 91462

List of positive integer factors of 91462 that divides 91449 without a remainder.

1, 2, 7, 14, 47, 94, 139, 278, 329, 658, 973, 1946, 6533, 13066, 45731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91449 and 91462. The biggest common factor number is the GCF number.
So the greatest common factor 91449 and 91462 is 1.

Also check out the Least Common Multiple of 91449 and 91462