What is the Greatest Common Factor of 74729 and 74735?

Greatest common factor (GCF) of 74729 and 74735 is 1.

GCF(74729,74735) = 1

We will now calculate the prime factors of 74729 and 74735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74729 and 74735.

How to find the GCF of 74729 and 74735?

We will first find the prime factorization of 74729 and 74735. After we will calculate the factors of 74729 and 74735 and find the biggest common factor number .

Step-1: Prime Factorization of 74729

Prime factors of 74729 are 74729. Prime factorization of 74729 in exponential form is:

74729 = 74729¹

Step-2: Prime Factorization of 74735

Prime factors of 74735 are 5, 14947. Prime factorization of 74735 in exponential form is:

74735 = 5¹ × 14947¹

Step-3: Factors of 74729

List of positive integer factors of 74729 that divides 74729 without a remainder.

Step-4: Factors of 74735

List of positive integer factors of 74735 that divides 74729 without a remainder.

1, 5, 14947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74729 and 74735. The biggest common factor number is the GCF number.
So the greatest common factor 74729 and 74735 is 1.

Also check out the Least Common Multiple of 74729 and 74735