What is the Greatest Common Factor of 44200 and 44211?

Greatest common factor (GCF) of 44200 and 44211 is 1.

GCF(44200,44211) = 1

We will now calculate the prime factors of 44200 and 44211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44200 and 44211.

How to find the GCF of 44200 and 44211?

We will first find the prime factorization of 44200 and 44211. After we will calculate the factors of 44200 and 44211 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 44211

Prime factors of 44211 are 3, 14737. Prime factorization of 44211 in exponential form is:

44211 = 3¹ × 14737¹

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 44211

List of positive integer factors of 44211 that divides 44200 without a remainder.

1, 3, 14737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44200 and 44211. The biggest common factor number is the GCF number.
So the greatest common factor 44200 and 44211 is 1.

Also check out the Least Common Multiple of 44200 and 44211