What is the Greatest Common Factor of 67254 and 67264?

Greatest common factor (GCF) of 67254 and 67264 is 2.

GCF(67254,67264) = 2

We will now calculate the prime factors of 67254 and 67264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67254 and 67264.

How to find the GCF of 67254 and 67264?

We will first find the prime factorization of 67254 and 67264. After we will calculate the factors of 67254 and 67264 and find the biggest common factor number .

Step-1: Prime Factorization of 67254

Prime factors of 67254 are 2, 3, 11, 1019. Prime factorization of 67254 in exponential form is:

67254 = 2¹ × 3¹ × 11¹ × 1019¹

Step-2: Prime Factorization of 67264

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

67264 = 2⁶ × 1051¹

Step-3: Factors of 67254

List of positive integer factors of 67254 that divides 67254 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1019, 2038, 3057, 6114, 11209, 22418, 33627

Step-4: Factors of 67264

List of positive integer factors of 67264 that divides 67254 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67254 and 67264. The biggest common factor number is the GCF number.
So the greatest common factor 67254 and 67264 is 2.

Also check out the Least Common Multiple of 67254 and 67264