What is the Greatest Common Factor of 62244 and 62248?

Greatest common factor (GCF) of 62244 and 62248 is 4.

GCF(62244,62248) = 4

We will now calculate the prime factors of 62244 and 62248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62244 and 62248.

How to find the GCF of 62244 and 62248?

We will first find the prime factorization of 62244 and 62248. After we will calculate the factors of 62244 and 62248 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62248

Prime factors of 62248 are 2, 31, 251. Prime factorization of 62248 in exponential form is:

62248 = 2³ × 31¹ × 251¹

Step-3: Factors of 62244

List of positive integer factors of 62244 that divides 62244 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

Step-4: Factors of 62248

List of positive integer factors of 62248 that divides 62244 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 251, 502, 1004, 2008, 7781, 15562, 31124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62244 and 62248. The biggest common factor number is the GCF number.
So the greatest common factor 62244 and 62248 is 4.

Also check out the Least Common Multiple of 62244 and 62248