What is the Greatest Common Factor of 5420 and 5440?

Greatest common factor (GCF) of 5420 and 5440 is 20.

GCF(5420,5440) = 20

We will now calculate the prime factors of 5420 and 5440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5420 and 5440.

How to find the GCF of 5420 and 5440?

We will first find the prime factorization of 5420 and 5440. After we will calculate the factors of 5420 and 5440 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 5440

Prime factors of 5440 are 2, 5, 17. Prime factorization of 5440 in exponential form is:

5440 = 2⁶ × 5¹ × 17¹

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 5440

List of positive integer factors of 5440 that divides 5420 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5420 and 5440. The biggest common factor number is the GCF number.
So the greatest common factor 5420 and 5440 is 20.

Also check out the Least Common Multiple of 5420 and 5440