What is the Greatest Common Factor of 89860 and 89872?

Greatest common factor (GCF) of 89860 and 89872 is 4.

GCF(89860,89872) = 4

We will now calculate the prime factors of 89860 and 89872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89860 and 89872.

How to find the GCF of 89860 and 89872?

We will first find the prime factorization of 89860 and 89872. After we will calculate the factors of 89860 and 89872 and find the biggest common factor number .

Step-1: Prime Factorization of 89860

Prime factors of 89860 are 2, 5, 4493. Prime factorization of 89860 in exponential form is:

89860 = 2² × 5¹ × 4493¹

Step-2: Prime Factorization of 89872

Prime factors of 89872 are 2, 41, 137. Prime factorization of 89872 in exponential form is:

89872 = 2⁴ × 41¹ × 137¹

Step-3: Factors of 89860

List of positive integer factors of 89860 that divides 89860 without a remainder.

1, 2, 4, 5, 10, 20, 4493, 8986, 17972, 22465, 44930

Step-4: Factors of 89872

List of positive integer factors of 89872 that divides 89860 without a remainder.

1, 2, 4, 8, 16, 41, 82, 137, 164, 274, 328, 548, 656, 1096, 2192, 5617, 11234, 22468, 44936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89860 and 89872. The biggest common factor number is the GCF number.
So the greatest common factor 89860 and 89872 is 4.

Also check out the Least Common Multiple of 89860 and 89872