What is the Greatest Common Factor of 49524 and 49539?

Greatest common factor (GCF) of 49524 and 49539 is 3.

GCF(49524,49539) = 3

We will now calculate the prime factors of 49524 and 49539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49524 and 49539.

How to find the GCF of 49524 and 49539?

We will first find the prime factorization of 49524 and 49539. After we will calculate the factors of 49524 and 49539 and find the biggest common factor number .

Step-1: Prime Factorization of 49524

Prime factors of 49524 are 2, 3, 4127. Prime factorization of 49524 in exponential form is:

49524 = 2² × 3¹ × 4127¹

Step-2: 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-3: Factors of 49524

List of positive integer factors of 49524 that divides 49524 without a remainder.

1, 2, 3, 4, 6, 12, 4127, 8254, 12381, 16508, 24762

Step-4: Factors of 49539

List of positive integer factors of 49539 that divides 49524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49524 and 49539. The biggest common factor number is the GCF number.
So the greatest common factor 49524 and 49539 is 3.

Also check out the Least Common Multiple of 49524 and 49539