What is the Greatest Common Factor of 99630 and 99640?

Greatest common factor (GCF) of 99630 and 99640 is 10.

GCF(99630,99640) = 10

We will now calculate the prime factors of 99630 and 99640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99630 and 99640.

How to find the GCF of 99630 and 99640?

We will first find the prime factorization of 99630 and 99640. After we will calculate the factors of 99630 and 99640 and find the biggest common factor number .

Step-1: Prime Factorization of 99630

Prime factors of 99630 are 2, 3, 5, 41. Prime factorization of 99630 in exponential form is:

99630 = 2¹ × 3⁵ × 5¹ × 41¹

Step-2: Prime Factorization of 99640

Prime factors of 99640 are 2, 5, 47, 53. Prime factorization of 99640 in exponential form is:

99640 = 2³ × 5¹ × 47¹ × 53¹

Step-3: Factors of 99630

List of positive integer factors of 99630 that divides 99630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 243, 246, 270, 369, 405, 410, 486, 615, 738, 810, 1107, 1215, 1230, 1845, 2214, 2430, 3321, 3690, 5535, 6642, 9963, 11070, 16605, 19926, 33210, 49815

Step-4: Factors of 99640

List of positive integer factors of 99640 that divides 99630 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 53, 94, 106, 188, 212, 235, 265, 376, 424, 470, 530, 940, 1060, 1880, 2120, 2491, 4982, 9964, 12455, 19928, 24910, 49820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99630 and 99640. The biggest common factor number is the GCF number.
So the greatest common factor 99630 and 99640 is 10.

Also check out the Least Common Multiple of 99630 and 99640