What is the Greatest Common Factor of 89654 and 89664?

Greatest common factor (GCF) of 89654 and 89664 is 2.

GCF(89654,89664) = 2

We will now calculate the prime factors of 89654 and 89664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89654 and 89664.

How to find the GCF of 89654 and 89664?

We will first find the prime factorization of 89654 and 89664. After we will calculate the factors of 89654 and 89664 and find the biggest common factor number .

Step-1: Prime Factorization of 89654

Prime factors of 89654 are 2, 23, 1949. Prime factorization of 89654 in exponential form is:

89654 = 2¹ × 23¹ × 1949¹

Step-2: Prime Factorization of 89664

Prime factors of 89664 are 2, 3, 467. Prime factorization of 89664 in exponential form is:

89664 = 2⁶ × 3¹ × 467¹

Step-3: Factors of 89654

List of positive integer factors of 89654 that divides 89654 without a remainder.

1, 2, 23, 46, 1949, 3898, 44827

Step-4: Factors of 89664

List of positive integer factors of 89664 that divides 89654 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 467, 934, 1401, 1868, 2802, 3736, 5604, 7472, 11208, 14944, 22416, 29888, 44832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89654 and 89664. The biggest common factor number is the GCF number.
So the greatest common factor 89654 and 89664 is 2.

Also check out the Least Common Multiple of 89654 and 89664