What is the Greatest Common Factor of 89034 and 89054?

Greatest common factor (GCF) of 89034 and 89054 is 2.

GCF(89034,89054) = 2

We will now calculate the prime factors of 89034 and 89054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89034 and 89054.

How to find the GCF of 89034 and 89054?

We will first find the prime factorization of 89034 and 89054. After we will calculate the factors of 89034 and 89054 and find the biggest common factor number .

Step-1: Prime Factorization of 89034

Prime factors of 89034 are 2, 3, 11, 19, 71. Prime factorization of 89034 in exponential form is:

89034 = 2¹ × 3¹ × 11¹ × 19¹ × 71¹

Step-2: Prime Factorization of 89054

Prime factors of 89054 are 2, 7, 6361. Prime factorization of 89054 in exponential form is:

89054 = 2¹ × 7¹ × 6361¹

Step-3: Factors of 89034

List of positive integer factors of 89034 that divides 89034 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 71, 114, 142, 209, 213, 418, 426, 627, 781, 1254, 1349, 1562, 2343, 2698, 4047, 4686, 8094, 14839, 29678, 44517

Step-4: Factors of 89054

List of positive integer factors of 89054 that divides 89034 without a remainder.

1, 2, 7, 14, 6361, 12722, 44527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89034 and 89054. The biggest common factor number is the GCF number.
So the greatest common factor 89034 and 89054 is 2.

Also check out the Least Common Multiple of 89034 and 89054