What is the Greatest Common Factor of 62848 and 62856?

Greatest common factor (GCF) of 62848 and 62856 is 8.

GCF(62848,62856) = 8

We will now calculate the prime factors of 62848 and 62856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62848 and 62856.

How to find the GCF of 62848 and 62856?

We will first find the prime factorization of 62848 and 62856. After we will calculate the factors of 62848 and 62856 and find the biggest common factor number .

Step-1: Prime Factorization of 62848

Prime factors of 62848 are 2, 491. Prime factorization of 62848 in exponential form is:

62848 = 2⁷ × 491¹

Step-2: Prime Factorization of 62856

Prime factors of 62856 are 2, 3, 97. Prime factorization of 62856 in exponential form is:

62856 = 2³ × 3⁴ × 97¹

Step-3: Factors of 62848

List of positive integer factors of 62848 that divides 62848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 491, 982, 1964, 3928, 7856, 15712, 31424

Step-4: Factors of 62856

List of positive integer factors of 62856 that divides 62848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 97, 108, 162, 194, 216, 291, 324, 388, 582, 648, 776, 873, 1164, 1746, 2328, 2619, 3492, 5238, 6984, 7857, 10476, 15714, 20952, 31428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62848 and 62856. The biggest common factor number is the GCF number.
So the greatest common factor 62848 and 62856 is 8.

Also check out the Least Common Multiple of 62848 and 62856