What is the Greatest Common Factor of 72175 and 72192?

Greatest common factor (GCF) of 72175 and 72192 is 1.

GCF(72175,72192) = 1

We will now calculate the prime factors of 72175 and 72192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72175 and 72192.

How to find the GCF of 72175 and 72192?

We will first find the prime factorization of 72175 and 72192. After we will calculate the factors of 72175 and 72192 and find the biggest common factor number .

Step-1: Prime Factorization of 72175

Prime factors of 72175 are 5, 2887. Prime factorization of 72175 in exponential form is:

72175 = 5² × 2887¹

Step-2: 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-3: Factors of 72175

List of positive integer factors of 72175 that divides 72175 without a remainder.

1, 5, 25, 2887, 14435

Step-4: Factors of 72192

List of positive integer factors of 72192 that divides 72175 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72175 and 72192. The biggest common factor number is the GCF number.
So the greatest common factor 72175 and 72192 is 1.

Also check out the Least Common Multiple of 72175 and 72192