What is the Greatest Common Factor of 48198 and 48207?

Greatest common factor (GCF) of 48198 and 48207 is 3.

GCF(48198,48207) = 3

We will now calculate the prime factors of 48198 and 48207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48198 and 48207.

How to find the GCF of 48198 and 48207?

We will first find the prime factorization of 48198 and 48207. After we will calculate the factors of 48198 and 48207 and find the biggest common factor number .

Step-1: Prime Factorization of 48198

Prime factors of 48198 are 2, 3, 29, 277. Prime factorization of 48198 in exponential form is:

48198 = 2¹ × 3¹ × 29¹ × 277¹

Step-2: Prime Factorization of 48207

Prime factors of 48207 are 3, 16069. Prime factorization of 48207 in exponential form is:

48207 = 3¹ × 16069¹

Step-3: Factors of 48198

List of positive integer factors of 48198 that divides 48198 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 277, 554, 831, 1662, 8033, 16066, 24099

Step-4: Factors of 48207

List of positive integer factors of 48207 that divides 48198 without a remainder.

1, 3, 16069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48198 and 48207. The biggest common factor number is the GCF number.
So the greatest common factor 48198 and 48207 is 3.

Also check out the Least Common Multiple of 48198 and 48207