What is the Greatest Common Factor of 54537 and 54544?

Greatest common factor (GCF) of 54537 and 54544 is 7.

GCF(54537,54544) = 7

We will now calculate the prime factors of 54537 and 54544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54537 and 54544.

How to find the GCF of 54537 and 54544?

We will first find the prime factorization of 54537 and 54544. After we will calculate the factors of 54537 and 54544 and find the biggest common factor number .

Step-1: Prime Factorization of 54537

Prime factors of 54537 are 3, 7, 53. Prime factorization of 54537 in exponential form is:

54537 = 3¹ × 7³ × 53¹

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 54537

List of positive integer factors of 54537 that divides 54537 without a remainder.

1, 3, 7, 21, 49, 53, 147, 159, 343, 371, 1029, 1113, 2597, 7791, 18179

Step-4: Factors of 54544

List of positive integer factors of 54544 that divides 54537 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 54537 and 54544. The biggest common factor number is the GCF number.
So the greatest common factor 54537 and 54544 is 7.

Also check out the Least Common Multiple of 54537 and 54544