What is the Greatest Common Factor of 43204 and 43210?

Greatest common factor (GCF) of 43204 and 43210 is 2.

GCF(43204,43210) = 2

We will now calculate the prime factors of 43204 and 43210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43204 and 43210.

How to find the GCF of 43204 and 43210?

We will first find the prime factorization of 43204 and 43210. After we will calculate the factors of 43204 and 43210 and find the biggest common factor number .

Step-1: Prime Factorization of 43204

Prime factors of 43204 are 2, 7, 1543. Prime factorization of 43204 in exponential form is:

43204 = 2² × 7¹ × 1543¹

Step-2: Prime Factorization of 43210

Prime factors of 43210 are 2, 5, 29, 149. Prime factorization of 43210 in exponential form is:

43210 = 2¹ × 5¹ × 29¹ × 149¹

Step-3: Factors of 43204

List of positive integer factors of 43204 that divides 43204 without a remainder.

1, 2, 4, 7, 14, 28, 1543, 3086, 6172, 10801, 21602

Step-4: Factors of 43210

List of positive integer factors of 43210 that divides 43204 without a remainder.

1, 2, 5, 10, 29, 58, 145, 149, 290, 298, 745, 1490, 4321, 8642, 21605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43204 and 43210. The biggest common factor number is the GCF number.
So the greatest common factor 43204 and 43210 is 2.

Also check out the Least Common Multiple of 43204 and 43210