What is the Greatest Common Factor of 72187 and 72192?

Greatest common factor (GCF) of 72187 and 72192 is 1.

GCF(72187,72192) = 1

We will now calculate the prime factors of 72187 and 72192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72187 and 72192.

How to find the GCF of 72187 and 72192?

We will first find the prime factorization of 72187 and 72192. After we will calculate the factors of 72187 and 72192 and find the biggest common factor number .

Step-1: Prime Factorization of 72187

Prime factors of 72187 are 37, 1951. Prime factorization of 72187 in exponential form is:

72187 = 37¹ × 1951¹

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 72187

List of positive integer factors of 72187 that divides 72187 without a remainder.

1, 37, 1951

Step-4: Factors of 72192

List of positive integer factors of 72192 that divides 72187 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 72187 and 72192. The biggest common factor number is the GCF number.
So the greatest common factor 72187 and 72192 is 1.

Also check out the Least Common Multiple of 72187 and 72192