What is the Greatest Common Factor of 34213 and 34220?

Greatest common factor (GCF) of 34213 and 34220 is 1.

GCF(34213,34220) = 1

We will now calculate the prime factors of 34213 and 34220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34213 and 34220.

How to find the GCF of 34213 and 34220?

We will first find the prime factorization of 34213 and 34220. After we will calculate the factors of 34213 and 34220 and find the biggest common factor number .

Step-1: Prime Factorization of 34213

Prime factors of 34213 are 34213. Prime factorization of 34213 in exponential form is:

34213 = 34213¹

Step-2: Prime Factorization of 34220

Prime factors of 34220 are 2, 5, 29, 59. Prime factorization of 34220 in exponential form is:

34220 = 2² × 5¹ × 29¹ × 59¹

Step-3: Factors of 34213

List of positive integer factors of 34213 that divides 34213 without a remainder.

Step-4: Factors of 34220

List of positive integer factors of 34220 that divides 34213 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 59, 116, 118, 145, 236, 290, 295, 580, 590, 1180, 1711, 3422, 6844, 8555, 17110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34213 and 34220. The biggest common factor number is the GCF number.
So the greatest common factor 34213 and 34220 is 1.

Also check out the Least Common Multiple of 34213 and 34220