What is the Greatest Common Factor of 89634 and 89652?

Greatest common factor (GCF) of 89634 and 89652 is 6.

GCF(89634,89652) = 6

We will now calculate the prime factors of 89634 and 89652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89634 and 89652.

How to find the GCF of 89634 and 89652?

We will first find the prime factorization of 89634 and 89652. After we will calculate the factors of 89634 and 89652 and find the biggest common factor number .

Step-1: Prime Factorization of 89634

Prime factors of 89634 are 2, 3, 14939. Prime factorization of 89634 in exponential form is:

89634 = 2¹ × 3¹ × 14939¹

Step-2: 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-3: Factors of 89634

List of positive integer factors of 89634 that divides 89634 without a remainder.

1, 2, 3, 6, 14939, 29878, 44817

Step-4: Factors of 89652

List of positive integer factors of 89652 that divides 89634 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89634 and 89652. The biggest common factor number is the GCF number.
So the greatest common factor 89634 and 89652 is 6.

Also check out the Least Common Multiple of 89634 and 89652