What is the Greatest Common Factor of 53436 and 53453?

Greatest common factor (GCF) of 53436 and 53453 is 1.

GCF(53436,53453) = 1

We will now calculate the prime factors of 53436 and 53453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53436 and 53453.

How to find the GCF of 53436 and 53453?

We will first find the prime factorization of 53436 and 53453. After we will calculate the factors of 53436 and 53453 and find the biggest common factor number .

Step-1: Prime Factorization of 53436

Prime factors of 53436 are 2, 3, 61, 73. Prime factorization of 53436 in exponential form is:

53436 = 2² × 3¹ × 61¹ × 73¹

Step-2: Prime Factorization of 53453

Prime factors of 53453 are 53453. Prime factorization of 53453 in exponential form is:

53453 = 53453¹

Step-3: Factors of 53436

List of positive integer factors of 53436 that divides 53436 without a remainder.

1, 2, 3, 4, 6, 12, 61, 73, 122, 146, 183, 219, 244, 292, 366, 438, 732, 876, 4453, 8906, 13359, 17812, 26718

Step-4: Factors of 53453

List of positive integer factors of 53453 that divides 53436 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53436 and 53453. The biggest common factor number is the GCF number.
So the greatest common factor 53436 and 53453 is 1.

Also check out the Least Common Multiple of 53436 and 53453