What is the Greatest Common Factor of 80400 and 80410?

Greatest common factor (GCF) of 80400 and 80410 is 10.

GCF(80400,80410) = 10

We will now calculate the prime factors of 80400 and 80410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80400 and 80410.

How to find the GCF of 80400 and 80410?

We will first find the prime factorization of 80400 and 80410. After we will calculate the factors of 80400 and 80410 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 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-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 80410

List of positive integer factors of 80410 that divides 80400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80400 and 80410. The biggest common factor number is the GCF number.
So the greatest common factor 80400 and 80410 is 10.

Also check out the Least Common Multiple of 80400 and 80410