What is the Greatest Common Factor of 49539 and 49554?

Greatest common factor (GCF) of 49539 and 49554 is 3.

GCF(49539,49554) = 3

We will now calculate the prime factors of 49539 and 49554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49539 and 49554.

How to find the GCF of 49539 and 49554?

We will first find the prime factorization of 49539 and 49554. After we will calculate the factors of 49539 and 49554 and find the biggest common factor number .

Step-1: Prime Factorization of 49539

Prime factors of 49539 are 3, 7, 337. Prime factorization of 49539 in exponential form is:

49539 = 3¹ × 7² × 337¹

Step-2: Prime Factorization of 49554

Prime factors of 49554 are 2, 3, 2753. Prime factorization of 49554 in exponential form is:

49554 = 2¹ × 3² × 2753¹

Step-3: Factors of 49539

List of positive integer factors of 49539 that divides 49539 without a remainder.

1, 3, 7, 21, 49, 147, 337, 1011, 2359, 7077, 16513

Step-4: Factors of 49554

List of positive integer factors of 49554 that divides 49539 without a remainder.

1, 2, 3, 6, 9, 18, 2753, 5506, 8259, 16518, 24777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49539 and 49554. The biggest common factor number is the GCF number.
So the greatest common factor 49539 and 49554 is 3.

Also check out the Least Common Multiple of 49539 and 49554