What is the Greatest Common Factor of 67356 and 67374?

Greatest common factor (GCF) of 67356 and 67374 is 18.

GCF(67356,67374) = 18

We will now calculate the prime factors of 67356 and 67374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67356 and 67374.

How to find the GCF of 67356 and 67374?

We will first find the prime factorization of 67356 and 67374. After we will calculate the factors of 67356 and 67374 and find the biggest common factor number .

Step-1: Prime Factorization of 67356

Prime factors of 67356 are 2, 3, 1871. Prime factorization of 67356 in exponential form is:

67356 = 2² × 3² × 1871¹

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 67356

List of positive integer factors of 67356 that divides 67356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1871, 3742, 5613, 7484, 11226, 16839, 22452, 33678

Step-4: Factors of 67374

List of positive integer factors of 67374 that divides 67356 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 67356 and 67374. The biggest common factor number is the GCF number.
So the greatest common factor 67356 and 67374 is 18.

Also check out the Least Common Multiple of 67356 and 67374