What is the Greatest Common Factor of 74654 and 74674?

Greatest common factor (GCF) of 74654 and 74674 is 2.

GCF(74654,74674) = 2

We will now calculate the prime factors of 74654 and 74674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74654 and 74674.

How to find the GCF of 74654 and 74674?

We will first find the prime factorization of 74654 and 74674. After we will calculate the factors of 74654 and 74674 and find the biggest common factor number .

Step-1: Prime Factorization of 74654

Prime factors of 74654 are 2, 163, 229. Prime factorization of 74654 in exponential form is:

74654 = 2¹ × 163¹ × 229¹

Step-2: Prime Factorization of 74674

Prime factors of 74674 are 2, 37337. Prime factorization of 74674 in exponential form is:

74674 = 2¹ × 37337¹

Step-3: Factors of 74654

List of positive integer factors of 74654 that divides 74654 without a remainder.

1, 2, 163, 229, 326, 458, 37327

Step-4: Factors of 74674

List of positive integer factors of 74674 that divides 74654 without a remainder.

1, 2, 37337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74654 and 74674. The biggest common factor number is the GCF number.
So the greatest common factor 74654 and 74674 is 2.

Also check out the Least Common Multiple of 74654 and 74674