What is the Greatest Common Factor of 91409 and 91428?

Greatest common factor (GCF) of 91409 and 91428 is 19.

GCF(91409,91428) = 19

We will now calculate the prime factors of 91409 and 91428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91409 and 91428.

How to find the GCF of 91409 and 91428?

We will first find the prime factorization of 91409 and 91428. After we will calculate the factors of 91409 and 91428 and find the biggest common factor number .

Step-1: Prime Factorization of 91409

Prime factors of 91409 are 17, 19, 283. Prime factorization of 91409 in exponential form is:

91409 = 17¹ × 19¹ × 283¹

Step-2: Prime Factorization of 91428

Prime factors of 91428 are 2, 3, 19, 401. Prime factorization of 91428 in exponential form is:

91428 = 2² × 3¹ × 19¹ × 401¹

Step-3: Factors of 91409

List of positive integer factors of 91409 that divides 91409 without a remainder.

1, 17, 19, 283, 323, 4811, 5377

Step-4: Factors of 91428

List of positive integer factors of 91428 that divides 91409 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 401, 802, 1203, 1604, 2406, 4812, 7619, 15238, 22857, 30476, 45714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91409 and 91428. The biggest common factor number is the GCF number.
So the greatest common factor 91409 and 91428 is 19.

Also check out the Least Common Multiple of 91409 and 91428