What is the Greatest Common Factor of 89104 and 89112?

Greatest common factor (GCF) of 89104 and 89112 is 8.

GCF(89104,89112) = 8

We will now calculate the prime factors of 89104 and 89112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89104 and 89112.

How to find the GCF of 89104 and 89112?

We will first find the prime factorization of 89104 and 89112. After we will calculate the factors of 89104 and 89112 and find the biggest common factor number .

Step-1: Prime Factorization of 89104

Prime factors of 89104 are 2, 5569. Prime factorization of 89104 in exponential form is:

89104 = 2⁴ × 5569¹

Step-2: Prime Factorization of 89112

Prime factors of 89112 are 2, 3, 47, 79. Prime factorization of 89112 in exponential form is:

89112 = 2³ × 3¹ × 47¹ × 79¹

Step-3: Factors of 89104

List of positive integer factors of 89104 that divides 89104 without a remainder.

1, 2, 4, 8, 16, 5569, 11138, 22276, 44552

Step-4: Factors of 89112

List of positive integer factors of 89112 that divides 89104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 79, 94, 141, 158, 188, 237, 282, 316, 376, 474, 564, 632, 948, 1128, 1896, 3713, 7426, 11139, 14852, 22278, 29704, 44556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89104 and 89112. The biggest common factor number is the GCF number.
So the greatest common factor 89104 and 89112 is 8.

Also check out the Least Common Multiple of 89104 and 89112