What is the Greatest Common Factor of 80410 and 80420?

Greatest common factor (GCF) of 80410 and 80420 is 10.

GCF(80410,80420) = 10

We will now calculate the prime factors of 80410 and 80420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80410 and 80420.

How to find the GCF of 80410 and 80420?

We will first find the prime factorization of 80410 and 80420. After we will calculate the factors of 80410 and 80420 and find the biggest common factor number .

Step-1: Prime Factorization of 80410

Prime factors of 80410 are 2, 5, 11, 17, 43. Prime factorization of 80410 in exponential form is:

80410 = 2¹ × 5¹ × 11¹ × 17¹ × 43¹

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 80410

List of positive integer factors of 80410 that divides 80410 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 43, 55, 85, 86, 110, 170, 187, 215, 374, 430, 473, 731, 935, 946, 1462, 1870, 2365, 3655, 4730, 7310, 8041, 16082, 40205

Step-4: Factors of 80420

List of positive integer factors of 80420 that divides 80410 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 80410 and 80420. The biggest common factor number is the GCF number.
So the greatest common factor 80410 and 80420 is 10.

Also check out the Least Common Multiple of 80410 and 80420