What is the Greatest Common Factor of 49185 and 49197?

Greatest common factor (GCF) of 49185 and 49197 is 3.

GCF(49185,49197) = 3

We will now calculate the prime factors of 49185 and 49197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49185 and 49197.

How to find the GCF of 49185 and 49197?

We will first find the prime factorization of 49185 and 49197. After we will calculate the factors of 49185 and 49197 and find the biggest common factor number .

Step-1: Prime Factorization of 49185

Prime factors of 49185 are 3, 5, 1093. Prime factorization of 49185 in exponential form is:

49185 = 3² × 5¹ × 1093¹

Step-2: Prime Factorization of 49197

Prime factors of 49197 are 3, 23, 31. Prime factorization of 49197 in exponential form is:

49197 = 3¹ × 23² × 31¹

Step-3: Factors of 49185

List of positive integer factors of 49185 that divides 49185 without a remainder.

1, 3, 5, 9, 15, 45, 1093, 3279, 5465, 9837, 16395

Step-4: Factors of 49197

List of positive integer factors of 49197 that divides 49185 without a remainder.

1, 3, 23, 31, 69, 93, 529, 713, 1587, 2139, 16399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49185 and 49197. The biggest common factor number is the GCF number.
So the greatest common factor 49185 and 49197 is 3.

Also check out the Least Common Multiple of 49185 and 49197