What is the Greatest Common Factor of 74689 and 74694?

Greatest common factor (GCF) of 74689 and 74694 is 1.

GCF(74689,74694) = 1

We will now calculate the prime factors of 74689 and 74694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74689 and 74694.

How to find the GCF of 74689 and 74694?

We will first find the prime factorization of 74689 and 74694. After we will calculate the factors of 74689 and 74694 and find the biggest common factor number .

Step-1: Prime Factorization of 74689

Prime factors of 74689 are 19, 3931. Prime factorization of 74689 in exponential form is:

74689 = 19¹ × 3931¹

Step-2: 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-3: Factors of 74689

List of positive integer factors of 74689 that divides 74689 without a remainder.

1, 19, 3931

Step-4: Factors of 74694

List of positive integer factors of 74694 that divides 74689 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74689 and 74694. The biggest common factor number is the GCF number.
So the greatest common factor 74689 and 74694 is 1.

Also check out the Least Common Multiple of 74689 and 74694