What is the Greatest Common Factor of 86820 and 86825?

Greatest common factor (GCF) of 86820 and 86825 is 5.

GCF(86820,86825) = 5

We will now calculate the prime factors of 86820 and 86825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86820 and 86825.

How to find the GCF of 86820 and 86825?

We will first find the prime factorization of 86820 and 86825. After we will calculate the factors of 86820 and 86825 and find the biggest common factor number .

Step-1: Prime Factorization of 86820

Prime factors of 86820 are 2, 3, 5, 1447. Prime factorization of 86820 in exponential form is:

86820 = 2² × 3¹ × 5¹ × 1447¹

Step-2: Prime Factorization of 86825

Prime factors of 86825 are 5, 23, 151. Prime factorization of 86825 in exponential form is:

86825 = 5² × 23¹ × 151¹

Step-3: Factors of 86820

List of positive integer factors of 86820 that divides 86820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1447, 2894, 4341, 5788, 7235, 8682, 14470, 17364, 21705, 28940, 43410

Step-4: Factors of 86825

List of positive integer factors of 86825 that divides 86820 without a remainder.

1, 5, 23, 25, 115, 151, 575, 755, 3473, 3775, 17365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86820 and 86825. The biggest common factor number is the GCF number.
So the greatest common factor 86820 and 86825 is 5.

Also check out the Least Common Multiple of 86820 and 86825