What is the Greatest Common Factor of 56200 and 56210?

Greatest common factor (GCF) of 56200 and 56210 is 10.

GCF(56200,56210) = 10

We will now calculate the prime factors of 56200 and 56210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56200 and 56210.

How to find the GCF of 56200 and 56210?

We will first find the prime factorization of 56200 and 56210. After we will calculate the factors of 56200 and 56210 and find the biggest common factor number .

Step-1: Prime Factorization of 56200

Prime factors of 56200 are 2, 5, 281. Prime factorization of 56200 in exponential form is:

56200 = 2³ × 5² × 281¹

Step-2: Prime Factorization of 56210

Prime factors of 56210 are 2, 5, 7, 11, 73. Prime factorization of 56210 in exponential form is:

56210 = 2¹ × 5¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 56200

List of positive integer factors of 56200 that divides 56200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 281, 562, 1124, 1405, 2248, 2810, 5620, 7025, 11240, 14050, 28100

Step-4: Factors of 56210

List of positive integer factors of 56210 that divides 56200 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 73, 77, 110, 146, 154, 365, 385, 511, 730, 770, 803, 1022, 1606, 2555, 4015, 5110, 5621, 8030, 11242, 28105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56200 and 56210. The biggest common factor number is the GCF number.
So the greatest common factor 56200 and 56210 is 10.

Also check out the Least Common Multiple of 56200 and 56210