What is the Greatest Common Factor of 48509 and 48516?

Greatest common factor (GCF) of 48509 and 48516 is 1.

GCF(48509,48516) = 1

We will now calculate the prime factors of 48509 and 48516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48509 and 48516.

How to find the GCF of 48509 and 48516?

We will first find the prime factorization of 48509 and 48516. After we will calculate the factors of 48509 and 48516 and find the biggest common factor number .

Step-1: Prime Factorization of 48509

Prime factors of 48509 are 179, 271. Prime factorization of 48509 in exponential form is:

48509 = 179¹ × 271¹

Step-2: Prime Factorization of 48516

Prime factors of 48516 are 2, 3, 13, 311. Prime factorization of 48516 in exponential form is:

48516 = 2² × 3¹ × 13¹ × 311¹

Step-3: Factors of 48509

List of positive integer factors of 48509 that divides 48509 without a remainder.

1, 179, 271

Step-4: Factors of 48516

List of positive integer factors of 48516 that divides 48509 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 311, 622, 933, 1244, 1866, 3732, 4043, 8086, 12129, 16172, 24258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48509 and 48516. The biggest common factor number is the GCF number.
So the greatest common factor 48509 and 48516 is 1.

Also check out the Least Common Multiple of 48509 and 48516