What is the Greatest Common Factor of 62848 and 62860?

Greatest common factor (GCF) of 62848 and 62860 is 4.

GCF(62848,62860) = 4

We will now calculate the prime factors of 62848 and 62860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62848 and 62860.

How to find the GCF of 62848 and 62860?

We will first find the prime factorization of 62848 and 62860. After we will calculate the factors of 62848 and 62860 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 62860

Prime factors of 62860 are 2, 5, 7, 449. Prime factorization of 62860 in exponential form is:

62860 = 2² × 5¹ × 7¹ × 449¹

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 62860

List of positive integer factors of 62860 that divides 62848 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 449, 898, 1796, 2245, 3143, 4490, 6286, 8980, 12572, 15715, 31430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62848 and 62860. The biggest common factor number is the GCF number.
So the greatest common factor 62848 and 62860 is 4.

Also check out the Least Common Multiple of 62848 and 62860