What is the Greatest Common Factor of 43202 and 43216?

Greatest common factor (GCF) of 43202 and 43216 is 2.

GCF(43202,43216) = 2

We will now calculate the prime factors of 43202 and 43216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43202 and 43216.

How to find the GCF of 43202 and 43216?

We will first find the prime factorization of 43202 and 43216. After we will calculate the factors of 43202 and 43216 and find the biggest common factor number .

Step-1: Prime Factorization of 43202

Prime factors of 43202 are 2, 21601. Prime factorization of 43202 in exponential form is:

43202 = 2¹ × 21601¹

Step-2: Prime Factorization of 43216

Prime factors of 43216 are 2, 37, 73. Prime factorization of 43216 in exponential form is:

43216 = 2⁴ × 37¹ × 73¹

Step-3: Factors of 43202

List of positive integer factors of 43202 that divides 43202 without a remainder.

1, 2, 21601

Step-4: Factors of 43216

List of positive integer factors of 43216 that divides 43202 without a remainder.

1, 2, 4, 8, 16, 37, 73, 74, 146, 148, 292, 296, 584, 592, 1168, 2701, 5402, 10804, 21608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43202 and 43216. The biggest common factor number is the GCF number.
So the greatest common factor 43202 and 43216 is 2.

Also check out the Least Common Multiple of 43202 and 43216