What is the Greatest Common Factor of 48900 and 48909?

Greatest common factor (GCF) of 48900 and 48909 is 3.

GCF(48900,48909) = 3

We will now calculate the prime factors of 48900 and 48909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48900 and 48909.

How to find the GCF of 48900 and 48909?

We will first find the prime factorization of 48900 and 48909. After we will calculate the factors of 48900 and 48909 and find the biggest common factor number .

Step-1: Prime Factorization of 48900

Prime factors of 48900 are 2, 3, 5, 163. Prime factorization of 48900 in exponential form is:

48900 = 2² × 3¹ × 5² × 163¹

Step-2: Prime Factorization of 48909

Prime factors of 48909 are 3, 7, 17, 137. Prime factorization of 48909 in exponential form is:

48909 = 3¹ × 7¹ × 17¹ × 137¹

Step-3: Factors of 48900

List of positive integer factors of 48900 that divides 48900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 163, 300, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4075, 4890, 8150, 9780, 12225, 16300, 24450

Step-4: Factors of 48909

List of positive integer factors of 48909 that divides 48900 without a remainder.

1, 3, 7, 17, 21, 51, 119, 137, 357, 411, 959, 2329, 2877, 6987, 16303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48900 and 48909. The biggest common factor number is the GCF number.
So the greatest common factor 48900 and 48909 is 3.

Also check out the Least Common Multiple of 48900 and 48909