What is the Greatest Common Factor of 72408 and 72419?

Greatest common factor (GCF) of 72408 and 72419 is 1.

GCF(72408,72419) = 1

We will now calculate the prime factors of 72408 and 72419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72408 and 72419.

How to find the GCF of 72408 and 72419?

We will first find the prime factorization of 72408 and 72419. After we will calculate the factors of 72408 and 72419 and find the biggest common factor number .

Step-1: Prime Factorization of 72408

Prime factors of 72408 are 2, 3, 7, 431. Prime factorization of 72408 in exponential form is:

72408 = 2³ × 3¹ × 7¹ × 431¹

Step-2: Prime Factorization of 72419

Prime factors of 72419 are 139, 521. Prime factorization of 72419 in exponential form is:

72419 = 139¹ × 521¹

Step-3: Factors of 72408

List of positive integer factors of 72408 that divides 72408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 431, 862, 1293, 1724, 2586, 3017, 3448, 5172, 6034, 9051, 10344, 12068, 18102, 24136, 36204

Step-4: Factors of 72419

List of positive integer factors of 72419 that divides 72408 without a remainder.

1, 139, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72408 and 72419. The biggest common factor number is the GCF number.
So the greatest common factor 72408 and 72419 is 1.

Also check out the Least Common Multiple of 72408 and 72419