What is the Greatest Common Factor of 74199 and 74211?

Greatest common factor (GCF) of 74199 and 74211 is 3.

GCF(74199,74211) = 3

We will now calculate the prime factors of 74199 and 74211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74199 and 74211.

How to find the GCF of 74199 and 74211?

We will first find the prime factorization of 74199 and 74211. After we will calculate the factors of 74199 and 74211 and find the biggest common factor number .

Step-1: Prime Factorization of 74199

Prime factors of 74199 are 3, 24733. Prime factorization of 74199 in exponential form is:

74199 = 3¹ × 24733¹

Step-2: Prime Factorization of 74211

Prime factors of 74211 are 3, 29, 853. Prime factorization of 74211 in exponential form is:

74211 = 3¹ × 29¹ × 853¹

Step-3: Factors of 74199

List of positive integer factors of 74199 that divides 74199 without a remainder.

1, 3, 24733

Step-4: Factors of 74211

List of positive integer factors of 74211 that divides 74199 without a remainder.

1, 3, 29, 87, 853, 2559, 24737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74199 and 74211. The biggest common factor number is the GCF number.
So the greatest common factor 74199 and 74211 is 3.

Also check out the Least Common Multiple of 74199 and 74211