What is the Greatest Common Factor of 72325 and 72340?

Greatest common factor (GCF) of 72325 and 72340 is 5.

GCF(72325,72340) = 5

We will now calculate the prime factors of 72325 and 72340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72325 and 72340.

How to find the GCF of 72325 and 72340?

We will first find the prime factorization of 72325 and 72340. After we will calculate the factors of 72325 and 72340 and find the biggest common factor number .

Step-1: Prime Factorization of 72325

Prime factors of 72325 are 5, 11, 263. Prime factorization of 72325 in exponential form is:

72325 = 5² × 11¹ × 263¹

Step-2: Prime Factorization of 72340

Prime factors of 72340 are 2, 5, 3617. Prime factorization of 72340 in exponential form is:

72340 = 2² × 5¹ × 3617¹

Step-3: Factors of 72325

List of positive integer factors of 72325 that divides 72325 without a remainder.

1, 5, 11, 25, 55, 263, 275, 1315, 2893, 6575, 14465

Step-4: Factors of 72340

List of positive integer factors of 72340 that divides 72325 without a remainder.

1, 2, 4, 5, 10, 20, 3617, 7234, 14468, 18085, 36170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72325 and 72340. The biggest common factor number is the GCF number.
So the greatest common factor 72325 and 72340 is 5.

Also check out the Least Common Multiple of 72325 and 72340