What is the Greatest Common Factor of 88840 and 88852?

Greatest common factor (GCF) of 88840 and 88852 is 4.

GCF(88840,88852) = 4

We will now calculate the prime factors of 88840 and 88852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88840 and 88852.

How to find the GCF of 88840 and 88852?

We will first find the prime factorization of 88840 and 88852. After we will calculate the factors of 88840 and 88852 and find the biggest common factor number .

Step-1: Prime Factorization of 88840

Prime factors of 88840 are 2, 5, 2221. Prime factorization of 88840 in exponential form is:

88840 = 2³ × 5¹ × 2221¹

Step-2: Prime Factorization of 88852

Prime factors of 88852 are 2, 97, 229. Prime factorization of 88852 in exponential form is:

88852 = 2² × 97¹ × 229¹

Step-3: Factors of 88840

List of positive integer factors of 88840 that divides 88840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2221, 4442, 8884, 11105, 17768, 22210, 44420

Step-4: Factors of 88852

List of positive integer factors of 88852 that divides 88840 without a remainder.

1, 2, 4, 97, 194, 229, 388, 458, 916, 22213, 44426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88840 and 88852. The biggest common factor number is the GCF number.
So the greatest common factor 88840 and 88852 is 4.

Also check out the Least Common Multiple of 88840 and 88852