What is the Greatest Common Factor of 52238 and 52244?

Greatest common factor (GCF) of 52238 and 52244 is 2.

GCF(52238,52244) = 2

We will now calculate the prime factors of 52238 and 52244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52238 and 52244.

How to find the GCF of 52238 and 52244?

We will first find the prime factorization of 52238 and 52244. After we will calculate the factors of 52238 and 52244 and find the biggest common factor number .

Step-1: Prime Factorization of 52238

Prime factors of 52238 are 2, 26119. Prime factorization of 52238 in exponential form is:

52238 = 2¹ × 26119¹

Step-2: Prime Factorization of 52244

Prime factors of 52244 are 2, 37, 353. Prime factorization of 52244 in exponential form is:

52244 = 2² × 37¹ × 353¹

Step-3: Factors of 52238

List of positive integer factors of 52238 that divides 52238 without a remainder.

1, 2, 26119

Step-4: Factors of 52244

List of positive integer factors of 52244 that divides 52238 without a remainder.

1, 2, 4, 37, 74, 148, 353, 706, 1412, 13061, 26122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52238 and 52244. The biggest common factor number is the GCF number.
So the greatest common factor 52238 and 52244 is 2.

Also check out the Least Common Multiple of 52238 and 52244