What is the Greatest Common Factor of 52210 and 52220?

Greatest common factor (GCF) of 52210 and 52220 is 10.

GCF(52210,52220) = 10

We will now calculate the prime factors of 52210 and 52220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52210 and 52220.

How to find the GCF of 52210 and 52220?

We will first find the prime factorization of 52210 and 52220. After we will calculate the factors of 52210 and 52220 and find the biggest common factor number .

Step-1: Prime Factorization of 52210

Prime factors of 52210 are 2, 5, 23, 227. Prime factorization of 52210 in exponential form is:

52210 = 2¹ × 5¹ × 23¹ × 227¹

Step-2: Prime Factorization of 52220

Prime factors of 52220 are 2, 5, 7, 373. Prime factorization of 52220 in exponential form is:

52220 = 2² × 5¹ × 7¹ × 373¹

Step-3: Factors of 52210

List of positive integer factors of 52210 that divides 52210 without a remainder.

1, 2, 5, 10, 23, 46, 115, 227, 230, 454, 1135, 2270, 5221, 10442, 26105

Step-4: Factors of 52220

List of positive integer factors of 52220 that divides 52210 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 373, 746, 1492, 1865, 2611, 3730, 5222, 7460, 10444, 13055, 26110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52210 and 52220. The biggest common factor number is the GCF number.
So the greatest common factor 52210 and 52220 is 10.

Also check out the Least Common Multiple of 52210 and 52220