What is the Greatest Common Factor of 71436 and 71453?

Greatest common factor (GCF) of 71436 and 71453 is 1.

GCF(71436,71453) = 1

We will now calculate the prime factors of 71436 and 71453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71436 and 71453.

How to find the GCF of 71436 and 71453?

We will first find the prime factorization of 71436 and 71453. After we will calculate the factors of 71436 and 71453 and find the biggest common factor number .

Step-1: Prime Factorization of 71436

Prime factors of 71436 are 2, 3, 5953. Prime factorization of 71436 in exponential form is:

71436 = 2² × 3¹ × 5953¹

Step-2: Prime Factorization of 71453

Prime factors of 71453 are 71453. Prime factorization of 71453 in exponential form is:

71453 = 71453¹

Step-3: Factors of 71436

List of positive integer factors of 71436 that divides 71436 without a remainder.

1, 2, 3, 4, 6, 12, 5953, 11906, 17859, 23812, 35718

Step-4: Factors of 71453

List of positive integer factors of 71453 that divides 71436 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71436 and 71453. The biggest common factor number is the GCF number.
So the greatest common factor 71436 and 71453 is 1.

Also check out the Least Common Multiple of 71436 and 71453