What is the Greatest Common Factor of 62205 and 62220?

Greatest common factor (GCF) of 62205 and 62220 is 15.

GCF(62205,62220) = 15

We will now calculate the prime factors of 62205 and 62220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62205 and 62220.

How to find the GCF of 62205 and 62220?

We will first find the prime factorization of 62205 and 62220. After we will calculate the factors of 62205 and 62220 and find the biggest common factor number .

Step-1: Prime Factorization of 62205

Prime factors of 62205 are 3, 5, 11, 13, 29. Prime factorization of 62205 in exponential form is:

62205 = 3¹ × 5¹ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 62220

Prime factors of 62220 are 2, 3, 5, 17, 61. Prime factorization of 62220 in exponential form is:

62220 = 2² × 3¹ × 5¹ × 17¹ × 61¹

Step-3: Factors of 62205

List of positive integer factors of 62205 that divides 62205 without a remainder.

1, 3, 5, 11, 13, 15, 29, 33, 39, 55, 65, 87, 143, 145, 165, 195, 319, 377, 429, 435, 715, 957, 1131, 1595, 1885, 2145, 4147, 4785, 5655, 12441, 20735

Step-4: Factors of 62220

List of positive integer factors of 62220 that divides 62205 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 61, 68, 85, 102, 122, 170, 183, 204, 244, 255, 305, 340, 366, 510, 610, 732, 915, 1020, 1037, 1220, 1830, 2074, 3111, 3660, 4148, 5185, 6222, 10370, 12444, 15555, 20740, 31110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62205 and 62220. The biggest common factor number is the GCF number.
So the greatest common factor 62205 and 62220 is 15.

Also check out the Least Common Multiple of 62205 and 62220