What is the Greatest Common Factor of 48209 and 48216?

Greatest common factor (GCF) of 48209 and 48216 is 7.

GCF(48209,48216) = 7

We will now calculate the prime factors of 48209 and 48216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48209 and 48216.

How to find the GCF of 48209 and 48216?

We will first find the prime factorization of 48209 and 48216. After we will calculate the factors of 48209 and 48216 and find the biggest common factor number .

Step-1: Prime Factorization of 48209

Prime factors of 48209 are 7, 71, 97. Prime factorization of 48209 in exponential form is:

48209 = 7¹ × 71¹ × 97¹

Step-2: Prime Factorization of 48216

Prime factors of 48216 are 2, 3, 7, 41. Prime factorization of 48216 in exponential form is:

48216 = 2³ × 3¹ × 7² × 41¹

Step-3: Factors of 48209

List of positive integer factors of 48209 that divides 48209 without a remainder.

1, 7, 71, 97, 497, 679, 6887

Step-4: Factors of 48216

List of positive integer factors of 48216 that divides 48209 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 49, 56, 82, 84, 98, 123, 147, 164, 168, 196, 246, 287, 294, 328, 392, 492, 574, 588, 861, 984, 1148, 1176, 1722, 2009, 2296, 3444, 4018, 6027, 6888, 8036, 12054, 16072, 24108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48209 and 48216. The biggest common factor number is the GCF number.
So the greatest common factor 48209 and 48216 is 7.

Also check out the Least Common Multiple of 48209 and 48216