What is the Greatest Common Factor of 80400 and 80420?

Greatest common factor (GCF) of 80400 and 80420 is 20.

GCF(80400,80420) = 20

We will now calculate the prime factors of 80400 and 80420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80400 and 80420.

How to find the GCF of 80400 and 80420?

We will first find the prime factorization of 80400 and 80420. After we will calculate the factors of 80400 and 80420 and find the biggest common factor number .

Step-1: Prime Factorization of 80400

Prime factors of 80400 are 2, 3, 5, 67. Prime factorization of 80400 in exponential form is:

80400 = 2⁴ × 3¹ × 5² × 67¹

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 80400

List of positive integer factors of 80400 that divides 80400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 67, 75, 80, 100, 120, 134, 150, 200, 201, 240, 268, 300, 335, 400, 402, 536, 600, 670, 804, 1005, 1072, 1200, 1340, 1608, 1675, 2010, 2680, 3216, 3350, 4020, 5025, 5360, 6700, 8040, 10050, 13400, 16080, 20100, 26800, 40200

Step-4: Factors of 80420

List of positive integer factors of 80420 that divides 80400 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 80400 and 80420. The biggest common factor number is the GCF number.
So the greatest common factor 80400 and 80420 is 20.

Also check out the Least Common Multiple of 80400 and 80420