GCF and LCM Calculator Logo

What is the Greatest Common Factor of 28696 and 28700?

Greatest common factor (GCF) of 28696 and 28700 is 4.

GCF(28696,28700) = 4

We will now calculate the prime factors of 28696 and 28700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28696 and 28700.

GCF Calculator and
and

How to find the GCF of 28696 and 28700?

We will first find the prime factorization of 28696 and 28700. After we will calculate the factors of 28696 and 28700 and find the biggest common factor number .

Step-1: Prime Factorization of 28696

Prime factors of 28696 are 2, 17, 211. Prime factorization of 28696 in exponential form is:

28696 = 23 × 171 × 2111

Step-2: Prime Factorization of 28700

Prime factors of 28700 are 2, 5, 7, 41. Prime factorization of 28700 in exponential form is:

28700 = 22 × 52 × 71 × 411

Step-3: Factors of 28696

List of positive integer factors of 28696 that divides 28696 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 211, 422, 844, 1688, 3587, 7174, 14348

Step-4: Factors of 28700

List of positive integer factors of 28700 that divides 28696 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 41, 50, 70, 82, 100, 140, 164, 175, 205, 287, 350, 410, 574, 700, 820, 1025, 1148, 1435, 2050, 2870, 4100, 5740, 7175, 14350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28696 and 28700. The biggest common factor number is the GCF number.
So the greatest common factor 28696 and 28700 is 4.

Also check out the Least Common Multiple of 28696 and 28700