What is the Greatest Common Factor of 52364 and 52372?

Greatest common factor (GCF) of 52364 and 52372 is 4.

GCF(52364,52372) = 4

We will now calculate the prime factors of 52364 and 52372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52364 and 52372.

How to find the GCF of 52364 and 52372?

We will first find the prime factorization of 52364 and 52372. After we will calculate the factors of 52364 and 52372 and find the biggest common factor number .

Step-1: Prime Factorization of 52364

Prime factors of 52364 are 2, 13, 19, 53. Prime factorization of 52364 in exponential form is:

52364 = 2² × 13¹ × 19¹ × 53¹

Step-2: Prime Factorization of 52372

Prime factors of 52372 are 2, 13093. Prime factorization of 52372 in exponential form is:

52372 = 2² × 13093¹

Step-3: Factors of 52364

List of positive integer factors of 52364 that divides 52364 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 53, 76, 106, 212, 247, 494, 689, 988, 1007, 1378, 2014, 2756, 4028, 13091, 26182

Step-4: Factors of 52372

List of positive integer factors of 52372 that divides 52364 without a remainder.

1, 2, 4, 13093, 26186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52364 and 52372. The biggest common factor number is the GCF number.
So the greatest common factor 52364 and 52372 is 4.

Also check out the Least Common Multiple of 52364 and 52372