What is the Greatest Common Factor of 5420 and 5436?

Greatest common factor (GCF) of 5420 and 5436 is 4.

GCF(5420,5436) = 4

We will now calculate the prime factors of 5420 and 5436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5420 and 5436.

How to find the GCF of 5420 and 5436?

We will first find the prime factorization of 5420 and 5436. After we will calculate the factors of 5420 and 5436 and find the biggest common factor number .

Step-1: Prime Factorization of 5420

Prime factors of 5420 are 2, 5, 271. Prime factorization of 5420 in exponential form is:

5420 = 2² × 5¹ × 271¹

Step-2: Prime Factorization of 5436

Prime factors of 5436 are 2, 3, 151. Prime factorization of 5436 in exponential form is:

5436 = 2² × 3² × 151¹

Step-3: Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710

Step-4: Factors of 5436

List of positive integer factors of 5436 that divides 5420 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5420 and 5436. The biggest common factor number is the GCF number.
So the greatest common factor 5420 and 5436 is 4.

Also check out the Least Common Multiple of 5420 and 5436