What is the Greatest Common Factor of 34262 and 34271?

Greatest common factor (GCF) of 34262 and 34271 is 1.

GCF(34262,34271) = 1

We will now calculate the prime factors of 34262 and 34271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34262 and 34271.

How to find the GCF of 34262 and 34271?

We will first find the prime factorization of 34262 and 34271. After we will calculate the factors of 34262 and 34271 and find the biggest common factor number .

Step-1: Prime Factorization of 34262

Prime factors of 34262 are 2, 37, 463. Prime factorization of 34262 in exponential form is:

34262 = 2¹ × 37¹ × 463¹

Step-2: Prime Factorization of 34271

Prime factors of 34271 are 43, 797. Prime factorization of 34271 in exponential form is:

34271 = 43¹ × 797¹

Step-3: Factors of 34262

List of positive integer factors of 34262 that divides 34262 without a remainder.

1, 2, 37, 74, 463, 926, 17131

Step-4: Factors of 34271

List of positive integer factors of 34271 that divides 34262 without a remainder.

1, 43, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34262 and 34271. The biggest common factor number is the GCF number.
So the greatest common factor 34262 and 34271 is 1.

Also check out the Least Common Multiple of 34262 and 34271