What is the Greatest Common Factor of 5416 and 5431?

Greatest common factor (GCF) of 5416 and 5431 is 1.

GCF(5416,5431) = 1

We will now calculate the prime factors of 5416 and 5431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5416 and 5431.

How to find the GCF of 5416 and 5431?

We will first find the prime factorization of 5416 and 5431. After we will calculate the factors of 5416 and 5431 and find the biggest common factor number .

Step-1: Prime Factorization of 5416

Prime factors of 5416 are 2, 677. Prime factorization of 5416 in exponential form is:

5416 = 2³ × 677¹

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 5416

List of positive integer factors of 5416 that divides 5416 without a remainder.

1, 2, 4, 8, 677, 1354, 2708

Step-4: Factors of 5431

List of positive integer factors of 5431 that divides 5416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5416 and 5431. The biggest common factor number is the GCF number.
So the greatest common factor 5416 and 5431 is 1.

Also check out the Least Common Multiple of 5416 and 5431