What is the Greatest Common Factor of 8848 and 8852?

Greatest common factor (GCF) of 8848 and 8852 is 4.

GCF(8848,8852) = 4

We will now calculate the prime factors of 8848 and 8852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8848 and 8852.

How to find the GCF of 8848 and 8852?

We will first find the prime factorization of 8848 and 8852. After we will calculate the factors of 8848 and 8852 and find the biggest common factor number .

Step-1: Prime Factorization of 8848

Prime factors of 8848 are 2, 7, 79. Prime factorization of 8848 in exponential form is:

8848 = 2⁴ × 7¹ × 79¹

Step-2: Prime Factorization of 8852

Prime factors of 8852 are 2, 2213. Prime factorization of 8852 in exponential form is:

8852 = 2² × 2213¹

Step-3: Factors of 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424

Step-4: Factors of 8852

List of positive integer factors of 8852 that divides 8848 without a remainder.

1, 2, 4, 2213, 4426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8848 and 8852. The biggest common factor number is the GCF number.
So the greatest common factor 8848 and 8852 is 4.

Also check out the Least Common Multiple of 8848 and 8852