What is the Greatest Common Factor of 8832 and 8848?

Greatest common factor (GCF) of 8832 and 8848 is 16.

GCF(8832,8848) = 16

We will now calculate the prime factors of 8832 and 8848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8832 and 8848.

How to find the GCF of 8832 and 8848?

We will first find the prime factorization of 8832 and 8848. After we will calculate the factors of 8832 and 8848 and find the biggest common factor number .

Step-1: Prime Factorization of 8832

Prime factors of 8832 are 2, 3, 23. Prime factorization of 8832 in exponential form is:

8832 = 2⁷ × 3¹ × 23¹

Step-2: 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-3: Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416

Step-4: Factors of 8848

List of positive integer factors of 8848 that divides 8832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8832 and 8848. The biggest common factor number is the GCF number.
So the greatest common factor 8832 and 8848 is 16.

Also check out the Least Common Multiple of 8832 and 8848