What is the Greatest Common Factor of 48790 and 48804?

Greatest common factor (GCF) of 48790 and 48804 is 14.

GCF(48790,48804) = 14

We will now calculate the prime factors of 48790 and 48804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48790 and 48804.

How to find the GCF of 48790 and 48804?

We will first find the prime factorization of 48790 and 48804. After we will calculate the factors of 48790 and 48804 and find the biggest common factor number .

Step-1: Prime Factorization of 48790

Prime factors of 48790 are 2, 5, 7, 17, 41. Prime factorization of 48790 in exponential form is:

48790 = 2¹ × 5¹ × 7¹ × 17¹ × 41¹

Step-2: Prime Factorization of 48804

Prime factors of 48804 are 2, 3, 7, 83. Prime factorization of 48804 in exponential form is:

48804 = 2² × 3¹ × 7² × 83¹

Step-3: Factors of 48790

List of positive integer factors of 48790 that divides 48790 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 41, 70, 82, 85, 119, 170, 205, 238, 287, 410, 574, 595, 697, 1190, 1394, 1435, 2870, 3485, 4879, 6970, 9758, 24395

Step-4: Factors of 48804

List of positive integer factors of 48804 that divides 48790 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 83, 84, 98, 147, 166, 196, 249, 294, 332, 498, 581, 588, 996, 1162, 1743, 2324, 3486, 4067, 6972, 8134, 12201, 16268, 24402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48790 and 48804. The biggest common factor number is the GCF number.
So the greatest common factor 48790 and 48804 is 14.

Also check out the Least Common Multiple of 48790 and 48804