What is the Greatest Common Factor of 44200 and 44210?

Greatest common factor (GCF) of 44200 and 44210 is 10.

GCF(44200,44210) = 10

We will now calculate the prime factors of 44200 and 44210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44200 and 44210.

How to find the GCF of 44200 and 44210?

We will first find the prime factorization of 44200 and 44210. After we will calculate the factors of 44200 and 44210 and find the biggest common factor number .

Step-1: Prime Factorization of 44200

Prime factors of 44200 are 2, 5, 13, 17. Prime factorization of 44200 in exponential form is:

44200 = 2³ × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 44210

Prime factors of 44210 are 2, 5, 4421. Prime factorization of 44210 in exponential form is:

44210 = 2¹ × 5¹ × 4421¹

Step-3: Factors of 44200

List of positive integer factors of 44200 that divides 44200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 17, 20, 25, 26, 34, 40, 50, 52, 65, 68, 85, 100, 104, 130, 136, 170, 200, 221, 260, 325, 340, 425, 442, 520, 650, 680, 850, 884, 1105, 1300, 1700, 1768, 2210, 2600, 3400, 4420, 5525, 8840, 11050, 22100

Step-4: Factors of 44210

List of positive integer factors of 44210 that divides 44200 without a remainder.

1, 2, 5, 10, 4421, 8842, 22105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44200 and 44210. The biggest common factor number is the GCF number.
So the greatest common factor 44200 and 44210 is 10.

Also check out the Least Common Multiple of 44200 and 44210