What is the Greatest Common Factor of 74314 and 74332?

Greatest common factor (GCF) of 74314 and 74332 is 2.

GCF(74314,74332) = 2

We will now calculate the prime factors of 74314 and 74332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74314 and 74332.

How to find the GCF of 74314 and 74332?

We will first find the prime factorization of 74314 and 74332. After we will calculate the factors of 74314 and 74332 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74332

Prime factors of 74332 are 2, 18583. Prime factorization of 74332 in exponential form is:

74332 = 2² × 18583¹

Step-3: Factors of 74314

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

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

Step-4: Factors of 74332

List of positive integer factors of 74332 that divides 74314 without a remainder.

1, 2, 4, 18583, 37166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74314 and 74332. The biggest common factor number is the GCF number.
So the greatest common factor 74314 and 74332 is 2.

Also check out the Least Common Multiple of 74314 and 74332