What is the Greatest Common Factor of 74775 and 74791?

Greatest common factor (GCF) of 74775 and 74791 is 1.

GCF(74775,74791) = 1

We will now calculate the prime factors of 74775 and 74791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74775 and 74791.

How to find the GCF of 74775 and 74791?

We will first find the prime factorization of 74775 and 74791. After we will calculate the factors of 74775 and 74791 and find the biggest common factor number .

Step-1: Prime Factorization of 74775

Prime factors of 74775 are 3, 5, 997. Prime factorization of 74775 in exponential form is:

74775 = 3¹ × 5² × 997¹

Step-2: Prime Factorization of 74791

Prime factors of 74791 are 29, 2579. Prime factorization of 74791 in exponential form is:

74791 = 29¹ × 2579¹

Step-3: Factors of 74775

List of positive integer factors of 74775 that divides 74775 without a remainder.

1, 3, 5, 15, 25, 75, 997, 2991, 4985, 14955, 24925

Step-4: Factors of 74791

List of positive integer factors of 74791 that divides 74775 without a remainder.

1, 29, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74775 and 74791. The biggest common factor number is the GCF number.
So the greatest common factor 74775 and 74791 is 1.

Also check out the Least Common Multiple of 74775 and 74791