What is the Greatest Common Factor of 48776 and 48790?

Greatest common factor (GCF) of 48776 and 48790 is 14.

GCF(48776,48790) = 14

We will now calculate the prime factors of 48776 and 48790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48776 and 48790.

How to find the GCF of 48776 and 48790?

We will first find the prime factorization of 48776 and 48790. After we will calculate the factors of 48776 and 48790 and find the biggest common factor number .

Step-1: Prime Factorization of 48776

Prime factors of 48776 are 2, 7, 13, 67. Prime factorization of 48776 in exponential form is:

48776 = 2³ × 7¹ × 13¹ × 67¹

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 48776

List of positive integer factors of 48776 that divides 48776 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 67, 91, 104, 134, 182, 268, 364, 469, 536, 728, 871, 938, 1742, 1876, 3484, 3752, 6097, 6968, 12194, 24388

Step-4: Factors of 48790

List of positive integer factors of 48790 that divides 48776 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 48776 and 48790. The biggest common factor number is the GCF number.
So the greatest common factor 48776 and 48790 is 14.

Also check out the Least Common Multiple of 48776 and 48790