What is the Greatest Common Factor of 72415 and 72435?

Greatest common factor (GCF) of 72415 and 72435 is 5.

GCF(72415,72435) = 5

We will now calculate the prime factors of 72415 and 72435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72415 and 72435.

How to find the GCF of 72415 and 72435?

We will first find the prime factorization of 72415 and 72435. After we will calculate the factors of 72415 and 72435 and find the biggest common factor number .

Step-1: Prime Factorization of 72415

Prime factors of 72415 are 5, 7, 2069. Prime factorization of 72415 in exponential form is:

72415 = 5¹ × 7¹ × 2069¹

Step-2: Prime Factorization of 72435

Prime factors of 72435 are 3, 5, 11, 439. Prime factorization of 72435 in exponential form is:

72435 = 3¹ × 5¹ × 11¹ × 439¹

Step-3: Factors of 72415

List of positive integer factors of 72415 that divides 72415 without a remainder.

1, 5, 7, 35, 2069, 10345, 14483

Step-4: Factors of 72435

List of positive integer factors of 72435 that divides 72415 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 439, 1317, 2195, 4829, 6585, 14487, 24145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72415 and 72435. The biggest common factor number is the GCF number.
So the greatest common factor 72415 and 72435 is 5.

Also check out the Least Common Multiple of 72415 and 72435