What is the Greatest Common Factor of 72192 and 72208?

Greatest common factor (GCF) of 72192 and 72208 is 16.

GCF(72192,72208) = 16

We will now calculate the prime factors of 72192 and 72208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72192 and 72208.

How to find the GCF of 72192 and 72208?

We will first find the prime factorization of 72192 and 72208. After we will calculate the factors of 72192 and 72208 and find the biggest common factor number .

Step-1: Prime Factorization of 72192

Prime factors of 72192 are 2, 3, 47. Prime factorization of 72192 in exponential form is:

72192 = 2⁹ × 3¹ × 47¹

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 72192

List of positive integer factors of 72192 that divides 72192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 512, 564, 752, 768, 1128, 1504, 1536, 2256, 3008, 4512, 6016, 9024, 12032, 18048, 24064, 36096

Step-4: Factors of 72208

List of positive integer factors of 72208 that divides 72192 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 72192 and 72208. The biggest common factor number is the GCF number.
So the greatest common factor 72192 and 72208 is 16.

Also check out the Least Common Multiple of 72192 and 72208