What is the Greatest Common Factor of 62238 and 62256?

Greatest common factor (GCF) of 62238 and 62256 is 6.

GCF(62238,62256) = 6

We will now calculate the prime factors of 62238 and 62256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62238 and 62256.

How to find the GCF of 62238 and 62256?

We will first find the prime factorization of 62238 and 62256. After we will calculate the factors of 62238 and 62256 and find the biggest common factor number .

Step-1: Prime Factorization of 62238

Prime factors of 62238 are 2, 3, 11, 23, 41. Prime factorization of 62238 in exponential form is:

62238 = 2¹ × 3¹ × 11¹ × 23¹ × 41¹

Step-2: Prime Factorization of 62256

Prime factors of 62256 are 2, 3, 1297. Prime factorization of 62256 in exponential form is:

62256 = 2⁴ × 3¹ × 1297¹

Step-3: Factors of 62238

List of positive integer factors of 62238 that divides 62238 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 41, 46, 66, 69, 82, 123, 138, 246, 253, 451, 506, 759, 902, 943, 1353, 1518, 1886, 2706, 2829, 5658, 10373, 20746, 31119

Step-4: Factors of 62256

List of positive integer factors of 62256 that divides 62238 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1297, 2594, 3891, 5188, 7782, 10376, 15564, 20752, 31128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62238 and 62256. The biggest common factor number is the GCF number.
So the greatest common factor 62238 and 62256 is 6.

Also check out the Least Common Multiple of 62238 and 62256