What is the Greatest Common Factor of 89852 and 89864?

Greatest common factor (GCF) of 89852 and 89864 is 4.

GCF(89852,89864) = 4

We will now calculate the prime factors of 89852 and 89864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89852 and 89864.

How to find the GCF of 89852 and 89864?

We will first find the prime factorization of 89852 and 89864. After we will calculate the factors of 89852 and 89864 and find the biggest common factor number .

Step-1: Prime Factorization of 89852

Prime factors of 89852 are 2, 7, 3209. Prime factorization of 89852 in exponential form is:

89852 = 2² × 7¹ × 3209¹

Step-2: Prime Factorization of 89864

Prime factors of 89864 are 2, 47, 239. Prime factorization of 89864 in exponential form is:

89864 = 2³ × 47¹ × 239¹

Step-3: Factors of 89852

List of positive integer factors of 89852 that divides 89852 without a remainder.

1, 2, 4, 7, 14, 28, 3209, 6418, 12836, 22463, 44926

Step-4: Factors of 89864

List of positive integer factors of 89864 that divides 89852 without a remainder.

1, 2, 4, 8, 47, 94, 188, 239, 376, 478, 956, 1912, 11233, 22466, 44932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89852 and 89864. The biggest common factor number is the GCF number.
So the greatest common factor 89852 and 89864 is 4.

Also check out the Least Common Multiple of 89852 and 89864