What is the Greatest Common Factor of 54703 and 54714?

Greatest common factor (GCF) of 54703 and 54714 is 11.

GCF(54703,54714) = 11

We will now calculate the prime factors of 54703 and 54714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54703 and 54714.

How to find the GCF of 54703 and 54714?

We will first find the prime factorization of 54703 and 54714. After we will calculate the factors of 54703 and 54714 and find the biggest common factor number .

Step-1: Prime Factorization of 54703

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

54703 = 11¹ × 4973¹

Step-2: Prime Factorization of 54714

Prime factors of 54714 are 2, 3, 11, 829. Prime factorization of 54714 in exponential form is:

54714 = 2¹ × 3¹ × 11¹ × 829¹

Step-3: Factors of 54703

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

1, 11, 4973

Step-4: Factors of 54714

List of positive integer factors of 54714 that divides 54703 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 829, 1658, 2487, 4974, 9119, 18238, 27357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54703 and 54714. The biggest common factor number is the GCF number.
So the greatest common factor 54703 and 54714 is 11.

Also check out the Least Common Multiple of 54703 and 54714