What is the Greatest Common Factor of 62790 and 62803?

Greatest common factor (GCF) of 62790 and 62803 is 13.

GCF(62790,62803) = 13

We will now calculate the prime factors of 62790 and 62803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62790 and 62803.

How to find the GCF of 62790 and 62803?

We will first find the prime factorization of 62790 and 62803. After we will calculate the factors of 62790 and 62803 and find the biggest common factor number .

Step-1: Prime Factorization of 62790

Prime factors of 62790 are 2, 3, 5, 7, 13, 23. Prime factorization of 62790 in exponential form is:

62790 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 62803

Prime factors of 62803 are 13, 4831. Prime factorization of 62803 in exponential form is:

62803 = 13¹ × 4831¹

Step-3: Factors of 62790

List of positive integer factors of 62790 that divides 62790 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 23, 26, 30, 35, 39, 42, 46, 65, 69, 70, 78, 91, 105, 115, 130, 138, 161, 182, 195, 210, 230, 273, 299, 322, 345, 390, 455, 483, 546, 598, 690, 805, 897, 910, 966, 1365, 1495, 1610, 1794, 2093, 2415, 2730, 2990, 4186, 4485, 4830, 6279, 8970, 10465, 12558, 20930, 31395

Step-4: Factors of 62803

List of positive integer factors of 62803 that divides 62790 without a remainder.

1, 13, 4831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62790 and 62803. The biggest common factor number is the GCF number.
So the greatest common factor 62790 and 62803 is 13.

Also check out the Least Common Multiple of 62790 and 62803