What is the Greatest Common Factor of 80416 and 80420?

Greatest common factor (GCF) of 80416 and 80420 is 4.

GCF(80416,80420) = 4

We will now calculate the prime factors of 80416 and 80420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80416 and 80420.

How to find the GCF of 80416 and 80420?

We will first find the prime factorization of 80416 and 80420. After we will calculate the factors of 80416 and 80420 and find the biggest common factor number .

Step-1: Prime Factorization of 80416

Prime factors of 80416 are 2, 7, 359. Prime factorization of 80416 in exponential form is:

80416 = 2⁵ × 7¹ × 359¹

Step-2: 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-3: Factors of 80416

List of positive integer factors of 80416 that divides 80416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 11488, 20104, 40208

Step-4: Factors of 80420

List of positive integer factors of 80420 that divides 80416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80416 and 80420. The biggest common factor number is the GCF number.
So the greatest common factor 80416 and 80420 is 4.

Also check out the Least Common Multiple of 80416 and 80420