What is the Greatest Common Factor of 48188 and 48195?

Greatest common factor (GCF) of 48188 and 48195 is 7.

GCF(48188,48195) = 7

We will now calculate the prime factors of 48188 and 48195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48188 and 48195.

How to find the GCF of 48188 and 48195?

We will first find the prime factorization of 48188 and 48195. After we will calculate the factors of 48188 and 48195 and find the biggest common factor number .

Step-1: Prime Factorization of 48188

Prime factors of 48188 are 2, 7, 1721. Prime factorization of 48188 in exponential form is:

48188 = 2² × 7¹ × 1721¹

Step-2: 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-3: Factors of 48188

List of positive integer factors of 48188 that divides 48188 without a remainder.

1, 2, 4, 7, 14, 28, 1721, 3442, 6884, 12047, 24094

Step-4: Factors of 48195

List of positive integer factors of 48195 that divides 48188 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48188 and 48195. The biggest common factor number is the GCF number.
So the greatest common factor 48188 and 48195 is 7.

Also check out the Least Common Multiple of 48188 and 48195