What is the Greatest Common Factor of 52220 and 52234?

Greatest common factor (GCF) of 52220 and 52234 is 14.

GCF(52220,52234) = 14

We will now calculate the prime factors of 52220 and 52234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52220 and 52234.

How to find the GCF of 52220 and 52234?

We will first find the prime factorization of 52220 and 52234. After we will calculate the factors of 52220 and 52234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52234

Prime factors of 52234 are 2, 7, 13, 41. Prime factorization of 52234 in exponential form is:

52234 = 2¹ × 7² × 13¹ × 41¹

Step-3: Factors of 52220

List of positive integer factors of 52220 that divides 52220 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

Step-4: Factors of 52234

List of positive integer factors of 52234 that divides 52220 without a remainder.

1, 2, 7, 13, 14, 26, 41, 49, 82, 91, 98, 182, 287, 533, 574, 637, 1066, 1274, 2009, 3731, 4018, 7462, 26117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52220 and 52234. The biggest common factor number is the GCF number.
So the greatest common factor 52220 and 52234 is 14.

Also check out the Least Common Multiple of 52220 and 52234