What is the Greatest Common Factor of 5420 and 5431?

Greatest common factor (GCF) of 5420 and 5431 is 1.

GCF(5420,5431) = 1

We will now calculate the prime factors of 5420 and 5431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5420 and 5431.

How to find the GCF of 5420 and 5431?

We will first find the prime factorization of 5420 and 5431. After we will calculate the factors of 5420 and 5431 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 5431

Prime factors of 5431 are 5431. Prime factorization of 5431 in exponential form is:

5431 = 5431¹

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 5431

List of positive integer factors of 5431 that divides 5420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5420 and 5431. The biggest common factor number is the GCF number.
So the greatest common factor 5420 and 5431 is 1.

Also check out the Least Common Multiple of 5420 and 5431