What is the Greatest Common Factor of 72417 and 72431?

Greatest common factor (GCF) of 72417 and 72431 is 1.

GCF(72417,72431) = 1

We will now calculate the prime factors of 72417 and 72431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72417 and 72431.

How to find the GCF of 72417 and 72431?

We will first find the prime factorization of 72417 and 72431. After we will calculate the factors of 72417 and 72431 and find the biggest common factor number .

Step-1: Prime Factorization of 72417

Prime factors of 72417 are 3, 101, 239. Prime factorization of 72417 in exponential form is:

72417 = 3¹ × 101¹ × 239¹

Step-2: Prime Factorization of 72431

Prime factors of 72431 are 72431. Prime factorization of 72431 in exponential form is:

72431 = 72431¹

Step-3: Factors of 72417

List of positive integer factors of 72417 that divides 72417 without a remainder.

1, 3, 101, 239, 303, 717, 24139

Step-4: Factors of 72431

List of positive integer factors of 72431 that divides 72417 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72417 and 72431. The biggest common factor number is the GCF number.
So the greatest common factor 72417 and 72431 is 1.

Also check out the Least Common Multiple of 72417 and 72431