What is the Greatest Common Factor of 5459 and 5470?

Greatest common factor (GCF) of 5459 and 5470 is 1.

GCF(5459,5470) = 1

We will now calculate the prime factors of 5459 and 5470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5459 and 5470.

How to find the GCF of 5459 and 5470?

We will first find the prime factorization of 5459 and 5470. After we will calculate the factors of 5459 and 5470 and find the biggest common factor number .

Step-1: Prime Factorization of 5459

Prime factors of 5459 are 53, 103. Prime factorization of 5459 in exponential form is:

5459 = 53¹ × 103¹

Step-2: Prime Factorization of 5470

Prime factors of 5470 are 2, 5, 547. Prime factorization of 5470 in exponential form is:

5470 = 2¹ × 5¹ × 547¹

Step-3: Factors of 5459

List of positive integer factors of 5459 that divides 5459 without a remainder.

1, 53, 103

Step-4: Factors of 5470

List of positive integer factors of 5470 that divides 5459 without a remainder.

1, 2, 5, 10, 547, 1094, 2735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5459 and 5470. The biggest common factor number is the GCF number.
So the greatest common factor 5459 and 5470 is 1.

Also check out the Least Common Multiple of 5459 and 5470