What is the Greatest Common Factor of 89640 and 89655?

Greatest common factor (GCF) of 89640 and 89655 is 15.

GCF(89640,89655) = 15

We will now calculate the prime factors of 89640 and 89655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89640 and 89655.

How to find the GCF of 89640 and 89655?

We will first find the prime factorization of 89640 and 89655. After we will calculate the factors of 89640 and 89655 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 89655

Prime factors of 89655 are 3, 5, 43, 139. Prime factorization of 89655 in exponential form is:

89655 = 3¹ × 5¹ × 43¹ × 139¹

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 89655

List of positive integer factors of 89655 that divides 89640 without a remainder.

1, 3, 5, 15, 43, 129, 139, 215, 417, 645, 695, 2085, 5977, 17931, 29885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89640 and 89655. The biggest common factor number is the GCF number.
So the greatest common factor 89640 and 89655 is 15.

Also check out the Least Common Multiple of 89640 and 89655