What is the Greatest Common Factor of 89034 and 89046?

Greatest common factor (GCF) of 89034 and 89046 is 6.

GCF(89034,89046) = 6

We will now calculate the prime factors of 89034 and 89046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89034 and 89046.

How to find the GCF of 89034 and 89046?

We will first find the prime factorization of 89034 and 89046. After we will calculate the factors of 89034 and 89046 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 89046

Prime factors of 89046 are 2, 3, 17, 97. Prime factorization of 89046 in exponential form is:

89046 = 2¹ × 3³ × 17¹ × 97¹

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 89046

List of positive integer factors of 89046 that divides 89034 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 97, 102, 153, 194, 291, 306, 459, 582, 873, 918, 1649, 1746, 2619, 3298, 4947, 5238, 9894, 14841, 29682, 44523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89034 and 89046. The biggest common factor number is the GCF number.
So the greatest common factor 89034 and 89046 is 6.

Also check out the Least Common Multiple of 89034 and 89046