What is the Greatest Common Factor of 49517 and 49530?

Greatest common factor (GCF) of 49517 and 49530 is 13.

GCF(49517,49530) = 13

We will now calculate the prime factors of 49517 and 49530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49517 and 49530.

How to find the GCF of 49517 and 49530?

We will first find the prime factorization of 49517 and 49530. After we will calculate the factors of 49517 and 49530 and find the biggest common factor number .

Step-1: Prime Factorization of 49517

Prime factors of 49517 are 13, 293. Prime factorization of 49517 in exponential form is:

49517 = 13² × 293¹

Step-2: Prime Factorization of 49530

Prime factors of 49530 are 2, 3, 5, 13, 127. Prime factorization of 49530 in exponential form is:

49530 = 2¹ × 3¹ × 5¹ × 13¹ × 127¹

Step-3: Factors of 49517

List of positive integer factors of 49517 that divides 49517 without a remainder.

1, 13, 169, 293, 3809

Step-4: Factors of 49530

List of positive integer factors of 49530 that divides 49517 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 127, 130, 195, 254, 381, 390, 635, 762, 1270, 1651, 1905, 3302, 3810, 4953, 8255, 9906, 16510, 24765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49517 and 49530. The biggest common factor number is the GCF number.
So the greatest common factor 49517 and 49530 is 13.

Also check out the Least Common Multiple of 49517 and 49530