What is the Greatest Common Factor of 74288 and 74294?

Greatest common factor (GCF) of 74288 and 74294 is 2.

GCF(74288,74294) = 2

We will now calculate the prime factors of 74288 and 74294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74288 and 74294.

How to find the GCF of 74288 and 74294?

We will first find the prime factorization of 74288 and 74294. After we will calculate the factors of 74288 and 74294 and find the biggest common factor number .

Step-1: Prime Factorization of 74288

Prime factors of 74288 are 2, 4643. Prime factorization of 74288 in exponential form is:

74288 = 2⁴ × 4643¹

Step-2: Prime Factorization of 74294

Prime factors of 74294 are 2, 11, 307. Prime factorization of 74294 in exponential form is:

74294 = 2¹ × 11² × 307¹

Step-3: Factors of 74288

List of positive integer factors of 74288 that divides 74288 without a remainder.

1, 2, 4, 8, 16, 4643, 9286, 18572, 37144

Step-4: Factors of 74294

List of positive integer factors of 74294 that divides 74288 without a remainder.

1, 2, 11, 22, 121, 242, 307, 614, 3377, 6754, 37147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74288 and 74294. The biggest common factor number is the GCF number.
So the greatest common factor 74288 and 74294 is 2.

Also check out the Least Common Multiple of 74288 and 74294