What is the Greatest Common Factor of 48178 and 48195?

Greatest common factor (GCF) of 48178 and 48195 is 17.

GCF(48178,48195) = 17

We will now calculate the prime factors of 48178 and 48195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48178 and 48195.

How to find the GCF of 48178 and 48195?

We will first find the prime factorization of 48178 and 48195. After we will calculate the factors of 48178 and 48195 and find the biggest common factor number .

Step-1: Prime Factorization of 48178

Prime factors of 48178 are 2, 13, 17, 109. Prime factorization of 48178 in exponential form is:

48178 = 2¹ × 13¹ × 17¹ × 109¹

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 48178

List of positive integer factors of 48178 that divides 48178 without a remainder.

1, 2, 13, 17, 26, 34, 109, 218, 221, 442, 1417, 1853, 2834, 3706, 24089

Step-4: Factors of 48195

List of positive integer factors of 48195 that divides 48178 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 48178 and 48195. The biggest common factor number is the GCF number.
So the greatest common factor 48178 and 48195 is 17.

Also check out the Least Common Multiple of 48178 and 48195