What is the Greatest Common Factor of 62790 and 62809?

Greatest common factor (GCF) of 62790 and 62809 is 1.

GCF(62790,62809) = 1

We will now calculate the prime factors of 62790 and 62809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62790 and 62809.

How to find the GCF of 62790 and 62809?

We will first find the prime factorization of 62790 and 62809. After we will calculate the factors of 62790 and 62809 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 62809

Prime factors of 62809 are 107, 587. Prime factorization of 62809 in exponential form is:

62809 = 107¹ × 587¹

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 62809

List of positive integer factors of 62809 that divides 62790 without a remainder.

1, 107, 587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62790 and 62809. The biggest common factor number is the GCF number.
So the greatest common factor 62790 and 62809 is 1.

Also check out the Least Common Multiple of 62790 and 62809