What is the Greatest Common Factor of 11420 and 11436?

Greatest common factor (GCF) of 11420 and 11436 is 4.

GCF(11420,11436) = 4

We will now calculate the prime factors of 11420 and 11436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11420 and 11436.

How to find the GCF of 11420 and 11436?

We will first find the prime factorization of 11420 and 11436. After we will calculate the factors of 11420 and 11436 and find the biggest common factor number .

Step-1: Prime Factorization of 11420

Prime factors of 11420 are 2, 5, 571. Prime factorization of 11420 in exponential form is:

11420 = 2² × 5¹ × 571¹

Step-2: Prime Factorization of 11436

Prime factors of 11436 are 2, 3, 953. Prime factorization of 11436 in exponential form is:

11436 = 2² × 3¹ × 953¹

Step-3: Factors of 11420

List of positive integer factors of 11420 that divides 11420 without a remainder.

1, 2, 4, 5, 10, 20, 571, 1142, 2284, 2855, 5710

Step-4: Factors of 11436

List of positive integer factors of 11436 that divides 11420 without a remainder.

1, 2, 3, 4, 6, 12, 953, 1906, 2859, 3812, 5718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11420 and 11436. The biggest common factor number is the GCF number.
So the greatest common factor 11420 and 11436 is 4.

Also check out the Least Common Multiple of 11420 and 11436