What is the Greatest Common Factor of 62194 and 62208?

Greatest common factor (GCF) of 62194 and 62208 is 2.

GCF(62194,62208) = 2

We will now calculate the prime factors of 62194 and 62208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62194 and 62208.

How to find the GCF of 62194 and 62208?

We will first find the prime factorization of 62194 and 62208. After we will calculate the factors of 62194 and 62208 and find the biggest common factor number .

Step-1: Prime Factorization of 62194

Prime factors of 62194 are 2, 11, 257. Prime factorization of 62194 in exponential form is:

62194 = 2¹ × 11² × 257¹

Step-2: Prime Factorization of 62208

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

62208 = 2⁸ × 3⁵

Step-3: Factors of 62194

List of positive integer factors of 62194 that divides 62194 without a remainder.

1, 2, 11, 22, 121, 242, 257, 514, 2827, 5654, 31097

Step-4: Factors of 62208

List of positive integer factors of 62208 that divides 62194 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62194 and 62208. The biggest common factor number is the GCF number.
So the greatest common factor 62194 and 62208 is 2.

Also check out the Least Common Multiple of 62194 and 62208