What is the Greatest Common Factor of 54526 and 54544?

Greatest common factor (GCF) of 54526 and 54544 is 2.

GCF(54526,54544) = 2

We will now calculate the prime factors of 54526 and 54544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54526 and 54544.

How to find the GCF of 54526 and 54544?

We will first find the prime factorization of 54526 and 54544. After we will calculate the factors of 54526 and 54544 and find the biggest common factor number .

Step-1: Prime Factorization of 54526

Prime factors of 54526 are 2, 137, 199. Prime factorization of 54526 in exponential form is:

54526 = 2¹ × 137¹ × 199¹

Step-2: 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-3: Factors of 54526

List of positive integer factors of 54526 that divides 54526 without a remainder.

1, 2, 137, 199, 274, 398, 27263

Step-4: Factors of 54544

List of positive integer factors of 54544 that divides 54526 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54526 and 54544. The biggest common factor number is the GCF number.
So the greatest common factor 54526 and 54544 is 2.

Also check out the Least Common Multiple of 54526 and 54544