What is the Greatest Common Factor of 5416 and 5435?

Greatest common factor (GCF) of 5416 and 5435 is 1.

GCF(5416,5435) = 1

We will now calculate the prime factors of 5416 and 5435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5416 and 5435.

How to find the GCF of 5416 and 5435?

We will first find the prime factorization of 5416 and 5435. After we will calculate the factors of 5416 and 5435 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 5435

Prime factors of 5435 are 5, 1087. Prime factorization of 5435 in exponential form is:

5435 = 5¹ × 1087¹

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 5435

List of positive integer factors of 5435 that divides 5416 without a remainder.

1, 5, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5416 and 5435. The biggest common factor number is the GCF number.
So the greatest common factor 5416 and 5435 is 1.

Also check out the Least Common Multiple of 5416 and 5435