What is the Greatest Common Factor of 72363 and 72370?

Greatest common factor (GCF) of 72363 and 72370 is 1.

GCF(72363,72370) = 1

We will now calculate the prime factors of 72363 and 72370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72363 and 72370.

How to find the GCF of 72363 and 72370?

We will first find the prime factorization of 72363 and 72370. After we will calculate the factors of 72363 and 72370 and find the biggest common factor number .

Step-1: Prime Factorization of 72363

Prime factors of 72363 are 3, 24121. Prime factorization of 72363 in exponential form is:

72363 = 3¹ × 24121¹

Step-2: Prime Factorization of 72370

Prime factors of 72370 are 2, 5, 7237. Prime factorization of 72370 in exponential form is:

72370 = 2¹ × 5¹ × 7237¹

Step-3: Factors of 72363

List of positive integer factors of 72363 that divides 72363 without a remainder.

1, 3, 24121

Step-4: Factors of 72370

List of positive integer factors of 72370 that divides 72363 without a remainder.

1, 2, 5, 10, 7237, 14474, 36185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72363 and 72370. The biggest common factor number is the GCF number.
So the greatest common factor 72363 and 72370 is 1.

Also check out the Least Common Multiple of 72363 and 72370