What is the Greatest Common Factor of 74686 and 74696?

Greatest common factor (GCF) of 74686 and 74696 is 2.

GCF(74686,74696) = 2

We will now calculate the prime factors of 74686 and 74696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74686 and 74696.

How to find the GCF of 74686 and 74696?

We will first find the prime factorization of 74686 and 74696. After we will calculate the factors of 74686 and 74696 and find the biggest common factor number .

Step-1: Prime Factorization of 74686

Prime factors of 74686 are 2, 107, 349. Prime factorization of 74686 in exponential form is:

74686 = 2¹ × 107¹ × 349¹

Step-2: Prime Factorization of 74696

Prime factors of 74696 are 2, 9337. Prime factorization of 74696 in exponential form is:

74696 = 2³ × 9337¹

Step-3: Factors of 74686

List of positive integer factors of 74686 that divides 74686 without a remainder.

1, 2, 107, 214, 349, 698, 37343

Step-4: Factors of 74696

List of positive integer factors of 74696 that divides 74686 without a remainder.

1, 2, 4, 8, 9337, 18674, 37348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74686 and 74696. The biggest common factor number is the GCF number.
So the greatest common factor 74686 and 74696 is 2.

Also check out the Least Common Multiple of 74686 and 74696