What is the Greatest Common Factor of 89904 and 89914?

Greatest common factor (GCF) of 89904 and 89914 is 2.

GCF(89904,89914) = 2

We will now calculate the prime factors of 89904 and 89914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89904 and 89914.

How to find the GCF of 89904 and 89914?

We will first find the prime factorization of 89904 and 89914. After we will calculate the factors of 89904 and 89914 and find the biggest common factor number .

Step-1: Prime Factorization of 89904

Prime factors of 89904 are 2, 3, 1873. Prime factorization of 89904 in exponential form is:

89904 = 2⁴ × 3¹ × 1873¹

Step-2: Prime Factorization of 89914

Prime factors of 89914 are 2, 11, 61, 67. Prime factorization of 89914 in exponential form is:

89914 = 2¹ × 11¹ × 61¹ × 67¹

Step-3: Factors of 89904

List of positive integer factors of 89904 that divides 89904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1873, 3746, 5619, 7492, 11238, 14984, 22476, 29968, 44952

Step-4: Factors of 89914

List of positive integer factors of 89914 that divides 89904 without a remainder.

1, 2, 11, 22, 61, 67, 122, 134, 671, 737, 1342, 1474, 4087, 8174, 44957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89904 and 89914. The biggest common factor number is the GCF number.
So the greatest common factor 89904 and 89914 is 2.

Also check out the Least Common Multiple of 89904 and 89914