What is the Greatest Common Factor of 48195 and 48211?

Greatest common factor (GCF) of 48195 and 48211 is 1.

GCF(48195,48211) = 1

We will now calculate the prime factors of 48195 and 48211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48195 and 48211.

How to find the GCF of 48195 and 48211?

We will first find the prime factorization of 48195 and 48211. After we will calculate the factors of 48195 and 48211 and find the biggest common factor number .

Step-1: Prime Factorization of 48195

Prime factors of 48195 are 3, 5, 7, 17. Prime factorization of 48195 in exponential form is:

48195 = 3⁴ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 48211

Prime factors of 48211 are 37, 1303. Prime factorization of 48211 in exponential form is:

48211 = 37¹ × 1303¹

Step-3: Factors of 48195

List of positive integer factors of 48195 that divides 48195 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 27, 35, 45, 51, 63, 81, 85, 105, 119, 135, 153, 189, 255, 315, 357, 405, 459, 567, 595, 765, 945, 1071, 1377, 1785, 2295, 2835, 3213, 5355, 6885, 9639, 16065

Step-4: Factors of 48211

List of positive integer factors of 48211 that divides 48195 without a remainder.

1, 37, 1303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48195 and 48211. The biggest common factor number is the GCF number.
So the greatest common factor 48195 and 48211 is 1.

Also check out the Least Common Multiple of 48195 and 48211