What is the Greatest Common Factor of 49556 and 49569?

Greatest common factor (GCF) of 49556 and 49569 is 13.

GCF(49556,49569) = 13

We will now calculate the prime factors of 49556 and 49569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49556 and 49569.

How to find the GCF of 49556 and 49569?

We will first find the prime factorization of 49556 and 49569. After we will calculate the factors of 49556 and 49569 and find the biggest common factor number .

Step-1: Prime Factorization of 49556

Prime factors of 49556 are 2, 13, 953. Prime factorization of 49556 in exponential form is:

49556 = 2² × 13¹ × 953¹

Step-2: Prime Factorization of 49569

Prime factors of 49569 are 3, 13, 31, 41. Prime factorization of 49569 in exponential form is:

49569 = 3¹ × 13¹ × 31¹ × 41¹

Step-3: Factors of 49556

List of positive integer factors of 49556 that divides 49556 without a remainder.

1, 2, 4, 13, 26, 52, 953, 1906, 3812, 12389, 24778

Step-4: Factors of 49569

List of positive integer factors of 49569 that divides 49556 without a remainder.

1, 3, 13, 31, 39, 41, 93, 123, 403, 533, 1209, 1271, 1599, 3813, 16523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49556 and 49569. The biggest common factor number is the GCF number.
So the greatest common factor 49556 and 49569 is 13.

Also check out the Least Common Multiple of 49556 and 49569