What is the Greatest Common Factor of 62208 and 62227?

Greatest common factor (GCF) of 62208 and 62227 is 1.

GCF(62208,62227) = 1

We will now calculate the prime factors of 62208 and 62227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62208 and 62227.

How to find the GCF of 62208 and 62227?

We will first find the prime factorization of 62208 and 62227. After we will calculate the factors of 62208 and 62227 and find the biggest common factor number .

Step-1: Prime Factorization of 62208

Prime factors of 62208 are 2, 3. Prime factorization of 62208 in exponential form is:

62208 = 2⁸ × 3⁵

Step-2: Prime Factorization of 62227

Prime factors of 62227 are 11, 5657. Prime factorization of 62227 in exponential form is:

62227 = 11¹ × 5657¹

Step-3: Factors of 62208

List of positive integer factors of 62208 that divides 62208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 243, 256, 288, 324, 384, 432, 486, 576, 648, 768, 864, 972, 1152, 1296, 1728, 1944, 2304, 2592, 3456, 3888, 5184, 6912, 7776, 10368, 15552, 20736, 31104

Step-4: Factors of 62227

List of positive integer factors of 62227 that divides 62208 without a remainder.

1, 11, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62208 and 62227. The biggest common factor number is the GCF number.
So the greatest common factor 62208 and 62227 is 1.

Also check out the Least Common Multiple of 62208 and 62227