What is the Greatest Common Factor of 89034 and 89053?

Greatest common factor (GCF) of 89034 and 89053 is 19.

GCF(89034,89053) = 19

We will now calculate the prime factors of 89034 and 89053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89034 and 89053.

How to find the GCF of 89034 and 89053?

We will first find the prime factorization of 89034 and 89053. After we will calculate the factors of 89034 and 89053 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 89053

Prime factors of 89053 are 19, 43, 109. Prime factorization of 89053 in exponential form is:

89053 = 19¹ × 43¹ × 109¹

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 89053

List of positive integer factors of 89053 that divides 89034 without a remainder.

1, 19, 43, 109, 817, 2071, 4687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89034 and 89053. The biggest common factor number is the GCF number.
So the greatest common factor 89034 and 89053 is 19.

Also check out the Least Common Multiple of 89034 and 89053