What is the Greatest Common Factor of 34216 and 34223?

Greatest common factor (GCF) of 34216 and 34223 is 7.

GCF(34216,34223) = 7

We will now calculate the prime factors of 34216 and 34223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34216 and 34223.

How to find the GCF of 34216 and 34223?

We will first find the prime factorization of 34216 and 34223. After we will calculate the factors of 34216 and 34223 and find the biggest common factor number .

Step-1: Prime Factorization of 34216

Prime factors of 34216 are 2, 7, 13, 47. Prime factorization of 34216 in exponential form is:

34216 = 2³ × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 34223

Prime factors of 34223 are 7, 4889. Prime factorization of 34223 in exponential form is:

34223 = 7¹ × 4889¹

Step-3: Factors of 34216

List of positive integer factors of 34216 that divides 34216 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108

Step-4: Factors of 34223

List of positive integer factors of 34223 that divides 34216 without a remainder.

1, 7, 4889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34216 and 34223. The biggest common factor number is the GCF number.
So the greatest common factor 34216 and 34223 is 7.

Also check out the Least Common Multiple of 34216 and 34223