What is the Greatest Common Factor of 54544 and 54562?

Greatest common factor (GCF) of 54544 and 54562 is 2.

GCF(54544,54562) = 2

We will now calculate the prime factors of 54544 and 54562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54544 and 54562.

How to find the GCF of 54544 and 54562?

We will first find the prime factorization of 54544 and 54562. After we will calculate the factors of 54544 and 54562 and find the biggest common factor number .

Step-1: Prime Factorization of 54544

Prime factors of 54544 are 2, 7, 487. Prime factorization of 54544 in exponential form is:

54544 = 2⁴ × 7¹ × 487¹

Step-2: Prime Factorization of 54562

Prime factors of 54562 are 2, 27281. Prime factorization of 54562 in exponential form is:

54562 = 2¹ × 27281¹

Step-3: Factors of 54544

List of positive integer factors of 54544 that divides 54544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 487, 974, 1948, 3409, 3896, 6818, 7792, 13636, 27272

Step-4: Factors of 54562

List of positive integer factors of 54562 that divides 54544 without a remainder.

1, 2, 27281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54544 and 54562. The biggest common factor number is the GCF number.
So the greatest common factor 54544 and 54562 is 2.

Also check out the Least Common Multiple of 54544 and 54562