What is the Greatest Common Factor of 62208 and 62214?

Greatest common factor (GCF) of 62208 and 62214 is 6.

GCF(62208,62214) = 6

We will now calculate the prime factors of 62208 and 62214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62208 and 62214.

How to find the GCF of 62208 and 62214?

We will first find the prime factorization of 62208 and 62214. After we will calculate the factors of 62208 and 62214 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 62214

Prime factors of 62214 are 2, 3, 10369. Prime factorization of 62214 in exponential form is:

62214 = 2¹ × 3¹ × 10369¹

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 62214

List of positive integer factors of 62214 that divides 62208 without a remainder.

1, 2, 3, 6, 10369, 20738, 31107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62208 and 62214. The biggest common factor number is the GCF number.
So the greatest common factor 62208 and 62214 is 6.

Also check out the Least Common Multiple of 62208 and 62214