What is the Greatest Common Factor of 62208 and 62228?

Greatest common factor (GCF) of 62208 and 62228 is 4.

GCF(62208,62228) = 4

We will now calculate the prime factors of 62208 and 62228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62208 and 62228.

How to find the GCF of 62208 and 62228?

We will first find the prime factorization of 62208 and 62228. After we will calculate the factors of 62208 and 62228 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 62228

Prime factors of 62228 are 2, 47, 331. Prime factorization of 62228 in exponential form is:

62228 = 2² × 47¹ × 331¹

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 62228

List of positive integer factors of 62228 that divides 62208 without a remainder.

1, 2, 4, 47, 94, 188, 331, 662, 1324, 15557, 31114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62208 and 62228. The biggest common factor number is the GCF number.
So the greatest common factor 62208 and 62228 is 4.

Also check out the Least Common Multiple of 62208 and 62228