What is the Greatest Common Factor of 62226 and 62244?

Greatest common factor (GCF) of 62226 and 62244 is 18.

GCF(62226,62244) = 18

We will now calculate the prime factors of 62226 and 62244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62226 and 62244.

How to find the GCF of 62226 and 62244?

We will first find the prime factorization of 62226 and 62244. After we will calculate the factors of 62226 and 62244 and find the biggest common factor number .

Step-1: Prime Factorization of 62226

Prime factors of 62226 are 2, 3, 3457. Prime factorization of 62226 in exponential form is:

62226 = 2¹ × 3² × 3457¹

Step-2: Prime Factorization of 62244

Prime factors of 62244 are 2, 3, 7, 13, 19. Prime factorization of 62244 in exponential form is:

62244 = 2² × 3² × 7¹ × 13¹ × 19¹

Step-3: Factors of 62226

List of positive integer factors of 62226 that divides 62226 without a remainder.

1, 2, 3, 6, 9, 18, 3457, 6914, 10371, 20742, 31113

Step-4: Factors of 62244

List of positive integer factors of 62244 that divides 62226 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 19, 21, 26, 28, 36, 38, 39, 42, 52, 57, 63, 76, 78, 84, 91, 114, 117, 126, 133, 156, 171, 182, 228, 234, 247, 252, 266, 273, 342, 364, 399, 468, 494, 532, 546, 684, 741, 798, 819, 988, 1092, 1197, 1482, 1596, 1638, 1729, 2223, 2394, 2964, 3276, 3458, 4446, 4788, 5187, 6916, 8892, 10374, 15561, 20748, 31122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62226 and 62244. The biggest common factor number is the GCF number.
So the greatest common factor 62226 and 62244 is 18.

Also check out the Least Common Multiple of 62226 and 62244