What is the Greatest Common Factor of 89632 and 89652?

Greatest common factor (GCF) of 89632 and 89652 is 4.

GCF(89632,89652) = 4

We will now calculate the prime factors of 89632 and 89652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89632 and 89652.

How to find the GCF of 89632 and 89652?

We will first find the prime factorization of 89632 and 89652. After we will calculate the factors of 89632 and 89652 and find the biggest common factor number .

Step-1: Prime Factorization of 89632

Prime factors of 89632 are 2, 2801. Prime factorization of 89632 in exponential form is:

89632 = 2⁵ × 2801¹

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 89632

List of positive integer factors of 89632 that divides 89632 without a remainder.

1, 2, 4, 8, 16, 32, 2801, 5602, 11204, 22408, 44816

Step-4: Factors of 89652

List of positive integer factors of 89652 that divides 89632 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 89632 and 89652. The biggest common factor number is the GCF number.
So the greatest common factor 89632 and 89652 is 4.

Also check out the Least Common Multiple of 89632 and 89652