What is the Greatest Common Factor of 52345 and 52364?

Greatest common factor (GCF) of 52345 and 52364 is 19.

GCF(52345,52364) = 19

We will now calculate the prime factors of 52345 and 52364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52345 and 52364.

How to find the GCF of 52345 and 52364?

We will first find the prime factorization of 52345 and 52364. After we will calculate the factors of 52345 and 52364 and find the biggest common factor number .

Step-1: Prime Factorization of 52345

Prime factors of 52345 are 5, 19, 29. Prime factorization of 52345 in exponential form is:

52345 = 5¹ × 19² × 29¹

Step-2: 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-3: Factors of 52345

List of positive integer factors of 52345 that divides 52345 without a remainder.

1, 5, 19, 29, 95, 145, 361, 551, 1805, 2755, 10469

Step-4: Factors of 52364

List of positive integer factors of 52364 that divides 52345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52345 and 52364. The biggest common factor number is the GCF number.
So the greatest common factor 52345 and 52364 is 19.

Also check out the Least Common Multiple of 52345 and 52364