What is the Greatest Common Factor of 91314 and 91321?

Greatest common factor (GCF) of 91314 and 91321 is 1.

GCF(91314,91321) = 1

We will now calculate the prime factors of 91314 and 91321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91314 and 91321.

How to find the GCF of 91314 and 91321?

We will first find the prime factorization of 91314 and 91321. After we will calculate the factors of 91314 and 91321 and find the biggest common factor number .

Step-1: Prime Factorization of 91314

Prime factors of 91314 are 2, 3, 19, 89. Prime factorization of 91314 in exponential form is:

91314 = 2¹ × 3³ × 19¹ × 89¹

Step-2: Prime Factorization of 91321

Prime factors of 91321 are 29, 47, 67. Prime factorization of 91321 in exponential form is:

91321 = 29¹ × 47¹ × 67¹

Step-3: Factors of 91314

List of positive integer factors of 91314 that divides 91314 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 89, 114, 171, 178, 267, 342, 513, 534, 801, 1026, 1602, 1691, 2403, 3382, 4806, 5073, 10146, 15219, 30438, 45657

Step-4: Factors of 91321

List of positive integer factors of 91321 that divides 91314 without a remainder.

1, 29, 47, 67, 1363, 1943, 3149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91314 and 91321. The biggest common factor number is the GCF number.
So the greatest common factor 91314 and 91321 is 1.

Also check out the Least Common Multiple of 91314 and 91321