What is the Greatest Common Factor of 88815 and 88820?

Greatest common factor (GCF) of 88815 and 88820 is 5.

GCF(88815,88820) = 5

We will now calculate the prime factors of 88815 and 88820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88815 and 88820.

How to find the GCF of 88815 and 88820?

We will first find the prime factorization of 88815 and 88820. After we will calculate the factors of 88815 and 88820 and find the biggest common factor number .

Step-1: Prime Factorization of 88815

Prime factors of 88815 are 3, 5, 31, 191. Prime factorization of 88815 in exponential form is:

88815 = 3¹ × 5¹ × 31¹ × 191¹

Step-2: Prime Factorization of 88820

Prime factors of 88820 are 2, 5, 4441. Prime factorization of 88820 in exponential form is:

88820 = 2² × 5¹ × 4441¹

Step-3: Factors of 88815

List of positive integer factors of 88815 that divides 88815 without a remainder.

1, 3, 5, 15, 31, 93, 155, 191, 465, 573, 955, 2865, 5921, 17763, 29605

Step-4: Factors of 88820

List of positive integer factors of 88820 that divides 88815 without a remainder.

1, 2, 4, 5, 10, 20, 4441, 8882, 17764, 22205, 44410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88815 and 88820. The biggest common factor number is the GCF number.
So the greatest common factor 88815 and 88820 is 5.

Also check out the Least Common Multiple of 88815 and 88820