What is the Greatest Common Factor of 54688 and 54703?

Greatest common factor (GCF) of 54688 and 54703 is 1.

GCF(54688,54703) = 1

We will now calculate the prime factors of 54688 and 54703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54688 and 54703.

How to find the GCF of 54688 and 54703?

We will first find the prime factorization of 54688 and 54703. After we will calculate the factors of 54688 and 54703 and find the biggest common factor number .

Step-1: Prime Factorization of 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 2⁵ × 1709¹

Step-2: Prime Factorization of 54703

Prime factors of 54703 are 11, 4973. Prime factorization of 54703 in exponential form is:

54703 = 11¹ × 4973¹

Step-3: Factors of 54688

List of positive integer factors of 54688 that divides 54688 without a remainder.

1, 2, 4, 8, 16, 32, 1709, 3418, 6836, 13672, 27344

Step-4: Factors of 54703

List of positive integer factors of 54703 that divides 54688 without a remainder.

1, 11, 4973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54688 and 54703. The biggest common factor number is the GCF number.
So the greatest common factor 54688 and 54703 is 1.

Also check out the Least Common Multiple of 54688 and 54703