What is the Greatest Common Factor of 74689 and 74693?

Greatest common factor (GCF) of 74689 and 74693 is 1.

GCF(74689,74693) = 1

We will now calculate the prime factors of 74689 and 74693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74689 and 74693.

How to find the GCF of 74689 and 74693?

We will first find the prime factorization of 74689 and 74693. After we will calculate the factors of 74689 and 74693 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 74693

Prime factors of 74693 are 113, 661. Prime factorization of 74693 in exponential form is:

74693 = 113¹ × 661¹

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 74693

List of positive integer factors of 74693 that divides 74689 without a remainder.

1, 113, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74689 and 74693. The biggest common factor number is the GCF number.
So the greatest common factor 74689 and 74693 is 1.

Also check out the Least Common Multiple of 74689 and 74693