What is the Greatest Common Factor of 56205 and 56210?

Greatest common factor (GCF) of 56205 and 56210 is 5.

GCF(56205,56210) = 5

We will now calculate the prime factors of 56205 and 56210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56205 and 56210.

How to find the GCF of 56205 and 56210?

We will first find the prime factorization of 56205 and 56210. After we will calculate the factors of 56205 and 56210 and find the biggest common factor number .

Step-1: Prime Factorization of 56205

Prime factors of 56205 are 3, 5, 1249. Prime factorization of 56205 in exponential form is:

56205 = 3² × 5¹ × 1249¹

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 56205

List of positive integer factors of 56205 that divides 56205 without a remainder.

1, 3, 5, 9, 15, 45, 1249, 3747, 6245, 11241, 18735

Step-4: Factors of 56210

List of positive integer factors of 56210 that divides 56205 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 56205 and 56210. The biggest common factor number is the GCF number.
So the greatest common factor 56205 and 56210 is 5.

Also check out the Least Common Multiple of 56205 and 56210