What is the Greatest Common Factor of 49569 and 49573?

Greatest common factor (GCF) of 49569 and 49573 is 1.

GCF(49569,49573) = 1

We will now calculate the prime factors of 49569 and 49573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49569 and 49573.

How to find the GCF of 49569 and 49573?

We will first find the prime factorization of 49569 and 49573. After we will calculate the factors of 49569 and 49573 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 49573

Prime factors of 49573 are 89, 557. Prime factorization of 49573 in exponential form is:

49573 = 89¹ × 557¹

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 49573

List of positive integer factors of 49573 that divides 49569 without a remainder.

1, 89, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49569 and 49573. The biggest common factor number is the GCF number.
So the greatest common factor 49569 and 49573 is 1.

Also check out the Least Common Multiple of 49569 and 49573