What is the Greatest Common Factor of 72437 and 72454?

Greatest common factor (GCF) of 72437 and 72454 is 17.

GCF(72437,72454) = 17

We will now calculate the prime factors of 72437 and 72454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72437 and 72454.

How to find the GCF of 72437 and 72454?

We will first find the prime factorization of 72437 and 72454. After we will calculate the factors of 72437 and 72454 and find the biggest common factor number .

Step-1: Prime Factorization of 72437

Prime factors of 72437 are 17, 4261. Prime factorization of 72437 in exponential form is:

72437 = 17¹ × 4261¹

Step-2: Prime Factorization of 72454

Prime factors of 72454 are 2, 17, 2131. Prime factorization of 72454 in exponential form is:

72454 = 2¹ × 17¹ × 2131¹

Step-3: Factors of 72437

List of positive integer factors of 72437 that divides 72437 without a remainder.

1, 17, 4261

Step-4: Factors of 72454

List of positive integer factors of 72454 that divides 72437 without a remainder.

1, 2, 17, 34, 2131, 4262, 36227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72437 and 72454. The biggest common factor number is the GCF number.
So the greatest common factor 72437 and 72454 is 17.

Also check out the Least Common Multiple of 72437 and 72454