What is the Greatest Common Factor of 72409 and 72428?

Greatest common factor (GCF) of 72409 and 72428 is 19.

GCF(72409,72428) = 19

We will now calculate the prime factors of 72409 and 72428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72409 and 72428.

How to find the GCF of 72409 and 72428?

We will first find the prime factorization of 72409 and 72428. After we will calculate the factors of 72409 and 72428 and find the biggest common factor number .

Step-1: Prime Factorization of 72409

Prime factors of 72409 are 19, 37, 103. Prime factorization of 72409 in exponential form is:

72409 = 19¹ × 37¹ × 103¹

Step-2: Prime Factorization of 72428

Prime factors of 72428 are 2, 19, 953. Prime factorization of 72428 in exponential form is:

72428 = 2² × 19¹ × 953¹

Step-3: Factors of 72409

List of positive integer factors of 72409 that divides 72409 without a remainder.

1, 19, 37, 103, 703, 1957, 3811

Step-4: Factors of 72428

List of positive integer factors of 72428 that divides 72409 without a remainder.

1, 2, 4, 19, 38, 76, 953, 1906, 3812, 18107, 36214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72409 and 72428. The biggest common factor number is the GCF number.
So the greatest common factor 72409 and 72428 is 19.

Also check out the Least Common Multiple of 72409 and 72428