What is the Greatest Common Factor of 62368 and 62376?

Greatest common factor (GCF) of 62368 and 62376 is 8.

GCF(62368,62376) = 8

We will now calculate the prime factors of 62368 and 62376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62368 and 62376.

How to find the GCF of 62368 and 62376?

We will first find the prime factorization of 62368 and 62376. After we will calculate the factors of 62368 and 62376 and find the biggest common factor number .

Step-1: Prime Factorization of 62368

Prime factors of 62368 are 2, 1949. Prime factorization of 62368 in exponential form is:

62368 = 2⁵ × 1949¹

Step-2: Prime Factorization of 62376

Prime factors of 62376 are 2, 3, 23, 113. Prime factorization of 62376 in exponential form is:

62376 = 2³ × 3¹ × 23¹ × 113¹

Step-3: Factors of 62368

List of positive integer factors of 62368 that divides 62368 without a remainder.

1, 2, 4, 8, 16, 32, 1949, 3898, 7796, 15592, 31184

Step-4: Factors of 62376

List of positive integer factors of 62376 that divides 62368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 113, 138, 184, 226, 276, 339, 452, 552, 678, 904, 1356, 2599, 2712, 5198, 7797, 10396, 15594, 20792, 31188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62368 and 62376. The biggest common factor number is the GCF number.
So the greatest common factor 62368 and 62376 is 8.

Also check out the Least Common Multiple of 62368 and 62376