What is the Greatest Common Factor of 74294 and 74314?

Greatest common factor (GCF) of 74294 and 74314 is 2.

GCF(74294,74314) = 2

We will now calculate the prime factors of 74294 and 74314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74294 and 74314.

How to find the GCF of 74294 and 74314?

We will first find the prime factorization of 74294 and 74314. After we will calculate the factors of 74294 and 74314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74314

Prime factors of 74314 are 2, 73, 509. Prime factorization of 74314 in exponential form is:

74314 = 2¹ × 73¹ × 509¹

Step-3: Factors of 74294

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

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

Step-4: Factors of 74314

List of positive integer factors of 74314 that divides 74294 without a remainder.

1, 2, 73, 146, 509, 1018, 37157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74294 and 74314. The biggest common factor number is the GCF number.
So the greatest common factor 74294 and 74314 is 2.

Also check out the Least Common Multiple of 74294 and 74314