What is the Greatest Common Factor of 74674 and 74686?

Greatest common factor (GCF) of 74674 and 74686 is 2.

GCF(74674,74686) = 2

We will now calculate the prime factors of 74674 and 74686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74674 and 74686.

How to find the GCF of 74674 and 74686?

We will first find the prime factorization of 74674 and 74686. After we will calculate the factors of 74674 and 74686 and find the biggest common factor number .

Step-1: Prime Factorization of 74674

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

74674 = 2¹ × 37337¹

Step-2: 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-3: Factors of 74674

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

1, 2, 37337

Step-4: Factors of 74686

List of positive integer factors of 74686 that divides 74674 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74674 and 74686. The biggest common factor number is the GCF number.
So the greatest common factor 74674 and 74686 is 2.

Also check out the Least Common Multiple of 74674 and 74686