What is the Greatest Common Factor of 49569 and 49575?

Greatest common factor (GCF) of 49569 and 49575 is 3.

GCF(49569,49575) = 3

We will now calculate the prime factors of 49569 and 49575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49569 and 49575.

How to find the GCF of 49569 and 49575?

We will first find the prime factorization of 49569 and 49575. After we will calculate the factors of 49569 and 49575 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49575

Prime factors of 49575 are 3, 5, 661. Prime factorization of 49575 in exponential form is:

49575 = 3¹ × 5² × 661¹

Step-3: Factors of 49569

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

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

Step-4: Factors of 49575

List of positive integer factors of 49575 that divides 49569 without a remainder.

1, 3, 5, 15, 25, 75, 661, 1983, 3305, 9915, 16525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49569 and 49575. The biggest common factor number is the GCF number.
So the greatest common factor 49569 and 49575 is 3.

Also check out the Least Common Multiple of 49569 and 49575