What is the Greatest Common Factor of 52345 and 52352?

Greatest common factor (GCF) of 52345 and 52352 is 1.

GCF(52345,52352) = 1

We will now calculate the prime factors of 52345 and 52352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52345 and 52352.

How to find the GCF of 52345 and 52352?

We will first find the prime factorization of 52345 and 52352. After we will calculate the factors of 52345 and 52352 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 52352

Prime factors of 52352 are 2, 409. Prime factorization of 52352 in exponential form is:

52352 = 2⁷ × 409¹

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 52352

List of positive integer factors of 52352 that divides 52345 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 409, 818, 1636, 3272, 6544, 13088, 26176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52345 and 52352. The biggest common factor number is the GCF number.
So the greatest common factor 52345 and 52352 is 1.

Also check out the Least Common Multiple of 52345 and 52352