What is the Greatest Common Factor of 84830 and 84848?

Greatest common factor (GCF) of 84830 and 84848 is 2.

GCF(84830,84848) = 2

We will now calculate the prime factors of 84830 and 84848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84830 and 84848.

How to find the GCF of 84830 and 84848?

We will first find the prime factorization of 84830 and 84848. After we will calculate the factors of 84830 and 84848 and find the biggest common factor number .

Step-1: Prime Factorization of 84830

Prime factors of 84830 are 2, 5, 17, 499. Prime factorization of 84830 in exponential form is:

84830 = 2¹ × 5¹ × 17¹ × 499¹

Step-2: Prime Factorization of 84848

Prime factors of 84848 are 2, 5303. Prime factorization of 84848 in exponential form is:

84848 = 2⁴ × 5303¹

Step-3: Factors of 84830

List of positive integer factors of 84830 that divides 84830 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 499, 998, 2495, 4990, 8483, 16966, 42415

Step-4: Factors of 84848

List of positive integer factors of 84848 that divides 84830 without a remainder.

1, 2, 4, 8, 16, 5303, 10606, 21212, 42424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84830 and 84848. The biggest common factor number is the GCF number.
So the greatest common factor 84830 and 84848 is 2.

Also check out the Least Common Multiple of 84830 and 84848