What is the Greatest Common Factor of 91314 and 91320?

Greatest common factor (GCF) of 91314 and 91320 is 6.

GCF(91314,91320) = 6

We will now calculate the prime factors of 91314 and 91320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91314 and 91320.

How to find the GCF of 91314 and 91320?

We will first find the prime factorization of 91314 and 91320. After we will calculate the factors of 91314 and 91320 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 91320

Prime factors of 91320 are 2, 3, 5, 761. Prime factorization of 91320 in exponential form is:

91320 = 2³ × 3¹ × 5¹ × 761¹

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 91320

List of positive integer factors of 91320 that divides 91314 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 761, 1522, 2283, 3044, 3805, 4566, 6088, 7610, 9132, 11415, 15220, 18264, 22830, 30440, 45660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91314 and 91320. The biggest common factor number is the GCF number.
So the greatest common factor 91314 and 91320 is 6.

Also check out the Least Common Multiple of 91314 and 91320