What is the Greatest Common Factor of 67365 and 67374?

Greatest common factor (GCF) of 67365 and 67374 is 9.

GCF(67365,67374) = 9

We will now calculate the prime factors of 67365 and 67374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67365 and 67374.

How to find the GCF of 67365 and 67374?

We will first find the prime factorization of 67365 and 67374. After we will calculate the factors of 67365 and 67374 and find the biggest common factor number .

Step-1: Prime Factorization of 67365

Prime factors of 67365 are 3, 5, 499. Prime factorization of 67365 in exponential form is:

67365 = 3³ × 5¹ × 499¹

Step-2: Prime Factorization of 67374

Prime factors of 67374 are 2, 3, 19, 197. Prime factorization of 67374 in exponential form is:

67374 = 2¹ × 3² × 19¹ × 197¹

Step-3: Factors of 67365

List of positive integer factors of 67365 that divides 67365 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 499, 1497, 2495, 4491, 7485, 13473, 22455

Step-4: Factors of 67374

List of positive integer factors of 67374 that divides 67365 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182, 1773, 3546, 3743, 7486, 11229, 22458, 33687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67365 and 67374. The biggest common factor number is the GCF number.
So the greatest common factor 67365 and 67374 is 9.

Also check out the Least Common Multiple of 67365 and 67374