What is the Greatest Common Factor of 74206 and 74211?

Greatest common factor (GCF) of 74206 and 74211 is 1.

GCF(74206,74211) = 1

We will now calculate the prime factors of 74206 and 74211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74206 and 74211.

How to find the GCF of 74206 and 74211?

We will first find the prime factorization of 74206 and 74211. After we will calculate the factors of 74206 and 74211 and find the biggest common factor number .

Step-1: Prime Factorization of 74206

Prime factors of 74206 are 2, 11, 3373. Prime factorization of 74206 in exponential form is:

74206 = 2¹ × 11¹ × 3373¹

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 74206

List of positive integer factors of 74206 that divides 74206 without a remainder.

1, 2, 11, 22, 3373, 6746, 37103

Step-4: Factors of 74211

List of positive integer factors of 74211 that divides 74206 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74206 and 74211. The biggest common factor number is the GCF number.
So the greatest common factor 74206 and 74211 is 1.

Also check out the Least Common Multiple of 74206 and 74211