What is the Greatest Common Factor of 67264 and 67278?

Greatest common factor (GCF) of 67264 and 67278 is 2.

GCF(67264,67278) = 2

We will now calculate the prime factors of 67264 and 67278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67264 and 67278.

How to find the GCF of 67264 and 67278?

We will first find the prime factorization of 67264 and 67278. After we will calculate the factors of 67264 and 67278 and find the biggest common factor number .

Step-1: Prime Factorization of 67264

Prime factors of 67264 are 2, 1051. Prime factorization of 67264 in exponential form is:

67264 = 2⁶ × 1051¹

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 67264

List of positive integer factors of 67264 that divides 67264 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1051, 2102, 4204, 8408, 16816, 33632

Step-4: Factors of 67278

List of positive integer factors of 67278 that divides 67264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67264 and 67278. The biggest common factor number is the GCF number.
So the greatest common factor 67264 and 67278 is 2.

Also check out the Least Common Multiple of 67264 and 67278