What is the Greatest Common Factor of 74693 and 74709?

Greatest common factor (GCF) of 74693 and 74709 is 1.

GCF(74693,74709) = 1

We will now calculate the prime factors of 74693 and 74709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74693 and 74709.

How to find the GCF of 74693 and 74709?

We will first find the prime factorization of 74693 and 74709. After we will calculate the factors of 74693 and 74709 and find the biggest common factor number .

Step-1: Prime Factorization of 74693

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

74693 = 113¹ × 661¹

Step-2: Prime Factorization of 74709

Prime factors of 74709 are 3, 2767. Prime factorization of 74709 in exponential form is:

74709 = 3³ × 2767¹

Step-3: Factors of 74693

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

1, 113, 661

Step-4: Factors of 74709

List of positive integer factors of 74709 that divides 74693 without a remainder.

1, 3, 9, 27, 2767, 8301, 24903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74693 and 74709. The biggest common factor number is the GCF number.
So the greatest common factor 74693 and 74709 is 1.

Also check out the Least Common Multiple of 74693 and 74709