What is the Greatest Common Factor of 67374 and 67378?

Greatest common factor (GCF) of 67374 and 67378 is 2.

GCF(67374,67378) = 2

We will now calculate the prime factors of 67374 and 67378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67374 and 67378.

How to find the GCF of 67374 and 67378?

We will first find the prime factorization of 67374 and 67378. After we will calculate the factors of 67374 and 67378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67378

Prime factors of 67378 are 2, 59, 571. Prime factorization of 67378 in exponential form is:

67378 = 2¹ × 59¹ × 571¹

Step-3: Factors of 67374

List of positive integer factors of 67374 that divides 67374 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

Step-4: Factors of 67378

List of positive integer factors of 67378 that divides 67374 without a remainder.

1, 2, 59, 118, 571, 1142, 33689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67374 and 67378. The biggest common factor number is the GCF number.
So the greatest common factor 67374 and 67378 is 2.

Also check out the Least Common Multiple of 67374 and 67378