What is the Greatest Common Factor of 89652 and 89658?

Greatest common factor (GCF) of 89652 and 89658 is 6.

GCF(89652,89658) = 6

We will now calculate the prime factors of 89652 and 89658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89652 and 89658.

How to find the GCF of 89652 and 89658?

We will first find the prime factorization of 89652 and 89658. After we will calculate the factors of 89652 and 89658 and find the biggest common factor number .

Step-1: Prime Factorization of 89652

Prime factors of 89652 are 2, 3, 31, 241. Prime factorization of 89652 in exponential form is:

89652 = 2² × 3¹ × 31¹ × 241¹

Step-2: Prime Factorization of 89658

Prime factors of 89658 are 2, 3, 17, 293. Prime factorization of 89658 in exponential form is:

89658 = 2¹ × 3² × 17¹ × 293¹

Step-3: Factors of 89652

List of positive integer factors of 89652 that divides 89652 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 241, 372, 482, 723, 964, 1446, 2892, 7471, 14942, 22413, 29884, 44826

Step-4: Factors of 89658

List of positive integer factors of 89658 that divides 89652 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 293, 306, 586, 879, 1758, 2637, 4981, 5274, 9962, 14943, 29886, 44829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89652 and 89658. The biggest common factor number is the GCF number.
So the greatest common factor 89652 and 89658 is 6.

Also check out the Least Common Multiple of 89652 and 89658