What is the Greatest Common Factor of 28400 and 28410?

Greatest common factor (GCF) of 28400 and 28410 is 10.

GCF(28400,28410) = 10

We will now calculate the prime factors of 28400 and 28410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28400 and 28410.

How to find the GCF of 28400 and 28410?

We will first find the prime factorization of 28400 and 28410. After we will calculate the factors of 28400 and 28410 and find the biggest common factor number .

Step-1: Prime Factorization of 28400

Prime factors of 28400 are 2, 5, 71. Prime factorization of 28400 in exponential form is:

28400 = 2⁴ × 5² × 71¹

Step-2: Prime Factorization of 28410

Prime factors of 28410 are 2, 3, 5, 947. Prime factorization of 28410 in exponential form is:

28410 = 2¹ × 3¹ × 5¹ × 947¹

Step-3: Factors of 28400

List of positive integer factors of 28400 that divides 28400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 71, 80, 100, 142, 200, 284, 355, 400, 568, 710, 1136, 1420, 1775, 2840, 3550, 5680, 7100, 14200

Step-4: Factors of 28410

List of positive integer factors of 28410 that divides 28400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 947, 1894, 2841, 4735, 5682, 9470, 14205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28400 and 28410. The biggest common factor number is the GCF number.
So the greatest common factor 28400 and 28410 is 10.

Also check out the Least Common Multiple of 28400 and 28410