What is the Greatest Common Factor of 80419 and 80424?

Greatest common factor (GCF) of 80419 and 80424 is 1.

GCF(80419,80424) = 1

We will now calculate the prime factors of 80419 and 80424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80419 and 80424.

How to find the GCF of 80419 and 80424?

We will first find the prime factorization of 80419 and 80424. After we will calculate the factors of 80419 and 80424 and find the biggest common factor number .

Step-1: Prime Factorization of 80419

Prime factors of 80419 are 137, 587. Prime factorization of 80419 in exponential form is:

80419 = 137¹ × 587¹

Step-2: Prime Factorization of 80424

Prime factors of 80424 are 2, 3, 1117. Prime factorization of 80424 in exponential form is:

80424 = 2³ × 3² × 1117¹

Step-3: Factors of 80419

List of positive integer factors of 80419 that divides 80419 without a remainder.

1, 137, 587

Step-4: Factors of 80424

List of positive integer factors of 80424 that divides 80419 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1117, 2234, 3351, 4468, 6702, 8936, 10053, 13404, 20106, 26808, 40212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80419 and 80424. The biggest common factor number is the GCF number.
So the greatest common factor 80419 and 80424 is 1.

Also check out the Least Common Multiple of 80419 and 80424