What is the Greatest Common Factor of 62408 and 62416?

Greatest common factor (GCF) of 62408 and 62416 is 8.

GCF(62408,62416) = 8

We will now calculate the prime factors of 62408 and 62416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62408 and 62416.

How to find the GCF of 62408 and 62416?

We will first find the prime factorization of 62408 and 62416. After we will calculate the factors of 62408 and 62416 and find the biggest common factor number .

Step-1: Prime Factorization of 62408

Prime factors of 62408 are 2, 29, 269. Prime factorization of 62408 in exponential form is:

62408 = 2³ × 29¹ × 269¹

Step-2: Prime Factorization of 62416

Prime factors of 62416 are 2, 47, 83. Prime factorization of 62416 in exponential form is:

62416 = 2⁴ × 47¹ × 83¹

Step-3: Factors of 62408

List of positive integer factors of 62408 that divides 62408 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 269, 538, 1076, 2152, 7801, 15602, 31204

Step-4: Factors of 62416

List of positive integer factors of 62416 that divides 62408 without a remainder.

1, 2, 4, 8, 16, 47, 83, 94, 166, 188, 332, 376, 664, 752, 1328, 3901, 7802, 15604, 31208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62408 and 62416. The biggest common factor number is the GCF number.
So the greatest common factor 62408 and 62416 is 8.

Also check out the Least Common Multiple of 62408 and 62416