What is the Greatest Common Factor of 74829 and 74843?

Greatest common factor (GCF) of 74829 and 74843 is 1.

GCF(74829,74843) = 1

We will now calculate the prime factors of 74829 and 74843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74829 and 74843.

How to find the GCF of 74829 and 74843?

We will first find the prime factorization of 74829 and 74843. After we will calculate the factors of 74829 and 74843 and find the biggest common factor number .

Step-1: Prime Factorization of 74829

Prime factors of 74829 are 3, 24943. Prime factorization of 74829 in exponential form is:

74829 = 3¹ × 24943¹

Step-2: Prime Factorization of 74843

Prime factors of 74843 are 74843. Prime factorization of 74843 in exponential form is:

74843 = 74843¹

Step-3: Factors of 74829

List of positive integer factors of 74829 that divides 74829 without a remainder.

1, 3, 24943

Step-4: Factors of 74843

List of positive integer factors of 74843 that divides 74829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74829 and 74843. The biggest common factor number is the GCF number.
So the greatest common factor 74829 and 74843 is 1.

Also check out the Least Common Multiple of 74829 and 74843