What is the Greatest Common Factor of 62838 and 62848?

Greatest common factor (GCF) of 62838 and 62848 is 2.

GCF(62838,62848) = 2

We will now calculate the prime factors of 62838 and 62848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62838 and 62848.

How to find the GCF of 62838 and 62848?

We will first find the prime factorization of 62838 and 62848. After we will calculate the factors of 62838 and 62848 and find the biggest common factor number .

Step-1: Prime Factorization of 62838

Prime factors of 62838 are 2, 3, 3491. Prime factorization of 62838 in exponential form is:

62838 = 2¹ × 3² × 3491¹

Step-2: Prime Factorization of 62848

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

62848 = 2⁷ × 491¹

Step-3: Factors of 62838

List of positive integer factors of 62838 that divides 62838 without a remainder.

1, 2, 3, 6, 9, 18, 3491, 6982, 10473, 20946, 31419

Step-4: Factors of 62848

List of positive integer factors of 62848 that divides 62838 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62838 and 62848. The biggest common factor number is the GCF number.
So the greatest common factor 62838 and 62848 is 2.

Also check out the Least Common Multiple of 62838 and 62848