What is the Greatest Common Factor of 45353 and 45372?

Greatest common factor (GCF) of 45353 and 45372 is 19.

GCF(45353,45372) = 19

We will now calculate the prime factors of 45353 and 45372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45353 and 45372.

How to find the GCF of 45353 and 45372?

We will first find the prime factorization of 45353 and 45372. After we will calculate the factors of 45353 and 45372 and find the biggest common factor number .

Step-1: Prime Factorization of 45353

Prime factors of 45353 are 7, 11, 19, 31. Prime factorization of 45353 in exponential form is:

45353 = 7¹ × 11¹ × 19¹ × 31¹

Step-2: Prime Factorization of 45372

Prime factors of 45372 are 2, 3, 19, 199. Prime factorization of 45372 in exponential form is:

45372 = 2² × 3¹ × 19¹ × 199¹

Step-3: Factors of 45353

List of positive integer factors of 45353 that divides 45353 without a remainder.

1, 7, 11, 19, 31, 77, 133, 209, 217, 341, 589, 1463, 2387, 4123, 6479

Step-4: Factors of 45372

List of positive integer factors of 45372 that divides 45353 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 199, 228, 398, 597, 796, 1194, 2388, 3781, 7562, 11343, 15124, 22686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45353 and 45372. The biggest common factor number is the GCF number.
So the greatest common factor 45353 and 45372 is 19.

Also check out the Least Common Multiple of 45353 and 45372