What is the Greatest Common Factor of 67268 and 67278?

Greatest common factor (GCF) of 67268 and 67278 is 2.

GCF(67268,67278) = 2

We will now calculate the prime factors of 67268 and 67278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67268 and 67278.

How to find the GCF of 67268 and 67278?

We will first find the prime factorization of 67268 and 67278. After we will calculate the factors of 67268 and 67278 and find the biggest common factor number .

Step-1: Prime Factorization of 67268

Prime factors of 67268 are 2, 67, 251. Prime factorization of 67268 in exponential form is:

67268 = 2² × 67¹ × 251¹

Step-2: Prime Factorization of 67278

Prime factors of 67278 are 2, 3, 11213. Prime factorization of 67278 in exponential form is:

67278 = 2¹ × 3¹ × 11213¹

Step-3: Factors of 67268

List of positive integer factors of 67268 that divides 67268 without a remainder.

1, 2, 4, 67, 134, 251, 268, 502, 1004, 16817, 33634

Step-4: Factors of 67278

List of positive integer factors of 67278 that divides 67268 without a remainder.

1, 2, 3, 6, 11213, 22426, 33639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67268 and 67278. The biggest common factor number is the GCF number.
So the greatest common factor 67268 and 67278 is 2.

Also check out the Least Common Multiple of 67268 and 67278