What is the Greatest Common Factor of 45435 and 45453?

Greatest common factor (GCF) of 45435 and 45453 is 3.

GCF(45435,45453) = 3

We will now calculate the prime factors of 45435 and 45453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45435 and 45453.

How to find the GCF of 45435 and 45453?

We will first find the prime factorization of 45435 and 45453. After we will calculate the factors of 45435 and 45453 and find the biggest common factor number .

Step-1: Prime Factorization of 45435

Prime factors of 45435 are 3, 5, 13, 233. Prime factorization of 45435 in exponential form is:

45435 = 3¹ × 5¹ × 13¹ × 233¹

Step-2: Prime Factorization of 45453

Prime factors of 45453 are 3, 109, 139. Prime factorization of 45453 in exponential form is:

45453 = 3¹ × 109¹ × 139¹

Step-3: Factors of 45435

List of positive integer factors of 45435 that divides 45435 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 233, 699, 1165, 3029, 3495, 9087, 15145

Step-4: Factors of 45453

List of positive integer factors of 45453 that divides 45435 without a remainder.

1, 3, 109, 139, 327, 417, 15151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45435 and 45453. The biggest common factor number is the GCF number.
So the greatest common factor 45435 and 45453 is 3.

Also check out the Least Common Multiple of 45435 and 45453