What is the Greatest Common Factor of 48783 and 48790?

Greatest common factor (GCF) of 48783 and 48790 is 7.

GCF(48783,48790) = 7

We will now calculate the prime factors of 48783 and 48790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48783 and 48790.

How to find the GCF of 48783 and 48790?

We will first find the prime factorization of 48783 and 48790. After we will calculate the factors of 48783 and 48790 and find the biggest common factor number .

Step-1: Prime Factorization of 48783

Prime factors of 48783 are 3, 7, 23, 101. Prime factorization of 48783 in exponential form is:

48783 = 3¹ × 7¹ × 23¹ × 101¹

Step-2: 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-3: Factors of 48783

List of positive integer factors of 48783 that divides 48783 without a remainder.

1, 3, 7, 21, 23, 69, 101, 161, 303, 483, 707, 2121, 2323, 6969, 16261

Step-4: Factors of 48790

List of positive integer factors of 48790 that divides 48783 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48783 and 48790. The biggest common factor number is the GCF number.
So the greatest common factor 48783 and 48790 is 7.

Also check out the Least Common Multiple of 48783 and 48790