What is the Greatest Common Factor of 62225 and 62244?

Greatest common factor (GCF) of 62225 and 62244 is 19.

GCF(62225,62244) = 19

We will now calculate the prime factors of 62225 and 62244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62225 and 62244.

How to find the GCF of 62225 and 62244?

We will first find the prime factorization of 62225 and 62244. After we will calculate the factors of 62225 and 62244 and find the biggest common factor number .

Step-1: Prime Factorization of 62225

Prime factors of 62225 are 5, 19, 131. Prime factorization of 62225 in exponential form is:

62225 = 5² × 19¹ × 131¹

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 62225

List of positive integer factors of 62225 that divides 62225 without a remainder.

1, 5, 19, 25, 95, 131, 475, 655, 2489, 3275, 12445

Step-4: Factors of 62244

List of positive integer factors of 62244 that divides 62225 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 62225 and 62244. The biggest common factor number is the GCF number.
So the greatest common factor 62225 and 62244 is 19.

Also check out the Least Common Multiple of 62225 and 62244