What is the Greatest Common Factor of 72194 and 72208?

Greatest common factor (GCF) of 72194 and 72208 is 2.

GCF(72194,72208) = 2

We will now calculate the prime factors of 72194 and 72208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72194 and 72208.

How to find the GCF of 72194 and 72208?

We will first find the prime factorization of 72194 and 72208. After we will calculate the factors of 72194 and 72208 and find the biggest common factor number .

Step-1: Prime Factorization of 72194

Prime factors of 72194 are 2, 36097. Prime factorization of 72194 in exponential form is:

72194 = 2¹ × 36097¹

Step-2: Prime Factorization of 72208

Prime factors of 72208 are 2, 4513. Prime factorization of 72208 in exponential form is:

72208 = 2⁴ × 4513¹

Step-3: Factors of 72194

List of positive integer factors of 72194 that divides 72194 without a remainder.

1, 2, 36097

Step-4: Factors of 72208

List of positive integer factors of 72208 that divides 72194 without a remainder.

1, 2, 4, 8, 16, 4513, 9026, 18052, 36104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72194 and 72208. The biggest common factor number is the GCF number.
So the greatest common factor 72194 and 72208 is 2.

Also check out the Least Common Multiple of 72194 and 72208