What is the Greatest Common Factor of 67294 and 67304?

Greatest common factor (GCF) of 67294 and 67304 is 2.

GCF(67294,67304) = 2

We will now calculate the prime factors of 67294 and 67304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67294 and 67304.

How to find the GCF of 67294 and 67304?

We will first find the prime factorization of 67294 and 67304. After we will calculate the factors of 67294 and 67304 and find the biggest common factor number .

Step-1: Prime Factorization of 67294

Prime factors of 67294 are 2, 33647. Prime factorization of 67294 in exponential form is:

67294 = 2¹ × 33647¹

Step-2: Prime Factorization of 67304

Prime factors of 67304 are 2, 47, 179. Prime factorization of 67304 in exponential form is:

67304 = 2³ × 47¹ × 179¹

Step-3: Factors of 67294

List of positive integer factors of 67294 that divides 67294 without a remainder.

1, 2, 33647

Step-4: Factors of 67304

List of positive integer factors of 67304 that divides 67294 without a remainder.

1, 2, 4, 8, 47, 94, 179, 188, 358, 376, 716, 1432, 8413, 16826, 33652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67294 and 67304. The biggest common factor number is the GCF number.
So the greatest common factor 67294 and 67304 is 2.

Also check out the Least Common Multiple of 67294 and 67304