What is the Greatest Common Factor of 85820 and 85824?

Greatest common factor (GCF) of 85820 and 85824 is 4.

GCF(85820,85824) = 4

We will now calculate the prime factors of 85820 and 85824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85820 and 85824.

How to find the GCF of 85820 and 85824?

We will first find the prime factorization of 85820 and 85824. After we will calculate the factors of 85820 and 85824 and find the biggest common factor number .

Step-1: Prime Factorization of 85820

Prime factors of 85820 are 2, 5, 7, 613. Prime factorization of 85820 in exponential form is:

85820 = 2² × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 85824

Prime factors of 85824 are 2, 3, 149. Prime factorization of 85824 in exponential form is:

85824 = 2⁶ × 3² × 149¹

Step-3: Factors of 85820

List of positive integer factors of 85820 that divides 85820 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 613, 1226, 2452, 3065, 4291, 6130, 8582, 12260, 17164, 21455, 42910

Step-4: Factors of 85824

List of positive integer factors of 85824 that divides 85820 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 149, 192, 288, 298, 447, 576, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 9536, 10728, 14304, 21456, 28608, 42912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85820 and 85824. The biggest common factor number is the GCF number.
So the greatest common factor 85820 and 85824 is 4.

Also check out the Least Common Multiple of 85820 and 85824