What is the Greatest Common Factor of 74686 and 74699?

Greatest common factor (GCF) of 74686 and 74699 is 1.

GCF(74686,74699) = 1

We will now calculate the prime factors of 74686 and 74699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74686 and 74699.

How to find the GCF of 74686 and 74699?

We will first find the prime factorization of 74686 and 74699. After we will calculate the factors of 74686 and 74699 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 74699

Prime factors of 74699 are 74699. Prime factorization of 74699 in exponential form is:

74699 = 74699¹

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 74699

List of positive integer factors of 74699 that divides 74686 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74686 and 74699. The biggest common factor number is the GCF number.
So the greatest common factor 74686 and 74699 is 1.

Also check out the Least Common Multiple of 74686 and 74699