What is the Greatest Common Factor of 74875 and 74884?

Greatest common factor (GCF) of 74875 and 74884 is 1.

GCF(74875,74884) = 1

We will now calculate the prime factors of 74875 and 74884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74875 and 74884.

How to find the GCF of 74875 and 74884?

We will first find the prime factorization of 74875 and 74884. After we will calculate the factors of 74875 and 74884 and find the biggest common factor number .

Step-1: Prime Factorization of 74875

Prime factors of 74875 are 5, 599. Prime factorization of 74875 in exponential form is:

74875 = 5³ × 599¹

Step-2: Prime Factorization of 74884

Prime factors of 74884 are 2, 97, 193. Prime factorization of 74884 in exponential form is:

74884 = 2² × 97¹ × 193¹

Step-3: Factors of 74875

List of positive integer factors of 74875 that divides 74875 without a remainder.

1, 5, 25, 125, 599, 2995, 14975

Step-4: Factors of 74884

List of positive integer factors of 74884 that divides 74875 without a remainder.

1, 2, 4, 97, 193, 194, 386, 388, 772, 18721, 37442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74875 and 74884. The biggest common factor number is the GCF number.
So the greatest common factor 74875 and 74884 is 1.

Also check out the Least Common Multiple of 74875 and 74884