What is the Greatest Common Factor of 80420 and 80424?

Greatest common factor (GCF) of 80420 and 80424 is 4.

GCF(80420,80424) = 4

We will now calculate the prime factors of 80420 and 80424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80420 and 80424.

How to find the GCF of 80420 and 80424?

We will first find the prime factorization of 80420 and 80424. After we will calculate the factors of 80420 and 80424 and find the biggest common factor number .

Step-1: Prime Factorization of 80420

Prime factors of 80420 are 2, 5, 4021. Prime factorization of 80420 in exponential form is:

80420 = 2² × 5¹ × 4021¹

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 80420

List of positive integer factors of 80420 that divides 80420 without a remainder.

1, 2, 4, 5, 10, 20, 4021, 8042, 16084, 20105, 40210

Step-4: Factors of 80424

List of positive integer factors of 80424 that divides 80420 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 80420 and 80424. The biggest common factor number is the GCF number.
So the greatest common factor 80420 and 80424 is 4.

Also check out the Least Common Multiple of 80420 and 80424