What is the Greatest Common Factor of 74694 and 74714?

Greatest common factor (GCF) of 74694 and 74714 is 2.

GCF(74694,74714) = 2

We will now calculate the prime factors of 74694 and 74714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74694 and 74714.

How to find the GCF of 74694 and 74714?

We will first find the prime factorization of 74694 and 74714. After we will calculate the factors of 74694 and 74714 and find the biggest common factor number .

Step-1: Prime Factorization of 74694

Prime factors of 74694 are 2, 3, 59, 211. Prime factorization of 74694 in exponential form is:

74694 = 2¹ × 3¹ × 59¹ × 211¹

Step-2: Prime Factorization of 74714

Prime factors of 74714 are 2, 37357. Prime factorization of 74714 in exponential form is:

74714 = 2¹ × 37357¹

Step-3: Factors of 74694

List of positive integer factors of 74694 that divides 74694 without a remainder.

1, 2, 3, 6, 59, 118, 177, 211, 354, 422, 633, 1266, 12449, 24898, 37347

Step-4: Factors of 74714

List of positive integer factors of 74714 that divides 74694 without a remainder.

1, 2, 37357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74694 and 74714. The biggest common factor number is the GCF number.
So the greatest common factor 74694 and 74714 is 2.

Also check out the Least Common Multiple of 74694 and 74714