What is the Greatest Common Factor of 54698 and 54709?

Greatest common factor (GCF) of 54698 and 54709 is 1.

GCF(54698,54709) = 1

We will now calculate the prime factors of 54698 and 54709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54698 and 54709.

How to find the GCF of 54698 and 54709?

We will first find the prime factorization of 54698 and 54709. After we will calculate the factors of 54698 and 54709 and find the biggest common factor number .

Step-1: Prime Factorization of 54698

Prime factors of 54698 are 2, 7, 3907. Prime factorization of 54698 in exponential form is:

54698 = 2¹ × 7¹ × 3907¹

Step-2: Prime Factorization of 54709

Prime factors of 54709 are 54709. Prime factorization of 54709 in exponential form is:

54709 = 54709¹

Step-3: Factors of 54698

List of positive integer factors of 54698 that divides 54698 without a remainder.

1, 2, 7, 14, 3907, 7814, 27349

Step-4: Factors of 54709

List of positive integer factors of 54709 that divides 54698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54698 and 54709. The biggest common factor number is the GCF number.
So the greatest common factor 54698 and 54709 is 1.

Also check out the Least Common Multiple of 54698 and 54709