What is the Greatest Common Factor of 89640 and 89656?

Greatest common factor (GCF) of 89640 and 89656 is 8.

GCF(89640,89656) = 8

We will now calculate the prime factors of 89640 and 89656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89640 and 89656.

How to find the GCF of 89640 and 89656?

We will first find the prime factorization of 89640 and 89656. After we will calculate the factors of 89640 and 89656 and find the biggest common factor number .

Step-1: Prime Factorization of 89640

Prime factors of 89640 are 2, 3, 5, 83. Prime factorization of 89640 in exponential form is:

89640 = 2³ × 3³ × 5¹ × 83¹

Step-2: Prime Factorization of 89656

Prime factors of 89656 are 2, 7, 1601. Prime factorization of 89656 in exponential form is:

89656 = 2³ × 7¹ × 1601¹

Step-3: Factors of 89640

List of positive integer factors of 89640 that divides 89640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 83, 90, 108, 120, 135, 166, 180, 216, 249, 270, 332, 360, 415, 498, 540, 664, 747, 830, 996, 1080, 1245, 1494, 1660, 1992, 2241, 2490, 2988, 3320, 3735, 4482, 4980, 5976, 7470, 8964, 9960, 11205, 14940, 17928, 22410, 29880, 44820

Step-4: Factors of 89656

List of positive integer factors of 89656 that divides 89640 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1601, 3202, 6404, 11207, 12808, 22414, 44828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89640 and 89656. The biggest common factor number is the GCF number.
So the greatest common factor 89640 and 89656 is 8.

Also check out the Least Common Multiple of 89640 and 89656