What is the Greatest Common Factor of 89635 and 89640?

Greatest common factor (GCF) of 89635 and 89640 is 5.

GCF(89635,89640) = 5

We will now calculate the prime factors of 89635 and 89640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89635 and 89640.

How to find the GCF of 89635 and 89640?

We will first find the prime factorization of 89635 and 89640. After we will calculate the factors of 89635 and 89640 and find the biggest common factor number .

Step-1: Prime Factorization of 89635

Prime factors of 89635 are 5, 7, 13, 197. Prime factorization of 89635 in exponential form is:

89635 = 5¹ × 7¹ × 13¹ × 197¹

Step-2: 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-3: Factors of 89635

List of positive integer factors of 89635 that divides 89635 without a remainder.

1, 5, 7, 13, 35, 65, 91, 197, 455, 985, 1379, 2561, 6895, 12805, 17927

Step-4: Factors of 89640

List of positive integer factors of 89640 that divides 89635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89635 and 89640. The biggest common factor number is the GCF number.
So the greatest common factor 89635 and 89640 is 5.

Also check out the Least Common Multiple of 89635 and 89640