What is the Greatest Common Factor of 72305 and 72312?

Greatest common factor (GCF) of 72305 and 72312 is 1.

GCF(72305,72312) = 1

We will now calculate the prime factors of 72305 and 72312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72305 and 72312.

How to find the GCF of 72305 and 72312?

We will first find the prime factorization of 72305 and 72312. After we will calculate the factors of 72305 and 72312 and find the biggest common factor number .

Step-1: Prime Factorization of 72305

Prime factors of 72305 are 5, 14461. Prime factorization of 72305 in exponential form is:

72305 = 5¹ × 14461¹

Step-2: Prime Factorization of 72312

Prime factors of 72312 are 2, 3, 23, 131. Prime factorization of 72312 in exponential form is:

72312 = 2³ × 3¹ × 23¹ × 131¹

Step-3: Factors of 72305

List of positive integer factors of 72305 that divides 72305 without a remainder.

1, 5, 14461

Step-4: Factors of 72312

List of positive integer factors of 72312 that divides 72305 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 131, 138, 184, 262, 276, 393, 524, 552, 786, 1048, 1572, 3013, 3144, 6026, 9039, 12052, 18078, 24104, 36156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72305 and 72312. The biggest common factor number is the GCF number.
So the greatest common factor 72305 and 72312 is 1.

Also check out the Least Common Multiple of 72305 and 72312