What is the Greatest Common Factor of 89832 and 89848?

Greatest common factor (GCF) of 89832 and 89848 is 8.

GCF(89832,89848) = 8

We will now calculate the prime factors of 89832 and 89848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89832 and 89848.

How to find the GCF of 89832 and 89848?

We will first find the prime factorization of 89832 and 89848. After we will calculate the factors of 89832 and 89848 and find the biggest common factor number .

Step-1: Prime Factorization of 89832

Prime factors of 89832 are 2, 3, 19, 197. Prime factorization of 89832 in exponential form is:

89832 = 2³ × 3¹ × 19¹ × 197¹

Step-2: Prime Factorization of 89848

Prime factors of 89848 are 2, 11, 1021. Prime factorization of 89848 in exponential form is:

89848 = 2³ × 11¹ × 1021¹

Step-3: Factors of 89832

List of positive integer factors of 89832 that divides 89832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 197, 228, 394, 456, 591, 788, 1182, 1576, 2364, 3743, 4728, 7486, 11229, 14972, 22458, 29944, 44916

Step-4: Factors of 89848

List of positive integer factors of 89848 that divides 89832 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1021, 2042, 4084, 8168, 11231, 22462, 44924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89832 and 89848. The biggest common factor number is the GCF number.
So the greatest common factor 89832 and 89848 is 8.

Also check out the Least Common Multiple of 89832 and 89848