What is the Greatest Common Factor of 62208 and 62219?

Greatest common factor (GCF) of 62208 and 62219 is 1.

GCF(62208,62219) = 1

We will now calculate the prime factors of 62208 and 62219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62208 and 62219.

How to find the GCF of 62208 and 62219?

We will first find the prime factorization of 62208 and 62219. After we will calculate the factors of 62208 and 62219 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 62219

Prime factors of 62219 are 62219. Prime factorization of 62219 in exponential form is:

62219 = 62219¹

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 62219

List of positive integer factors of 62219 that divides 62208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62208 and 62219. The biggest common factor number is the GCF number.
So the greatest common factor 62208 and 62219 is 1.

Also check out the Least Common Multiple of 62208 and 62219