What is the Greatest Common Factor of 99946 and 99960?

Greatest common factor (GCF) of 99946 and 99960 is 14.

GCF(99946,99960) = 14

We will now calculate the prime factors of 99946 and 99960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99946 and 99960.

How to find the GCF of 99946 and 99960?

We will first find the prime factorization of 99946 and 99960. After we will calculate the factors of 99946 and 99960 and find the biggest common factor number .

Step-1: Prime Factorization of 99946

Prime factors of 99946 are 2, 7, 11, 59. Prime factorization of 99946 in exponential form is:

99946 = 2¹ × 7¹ × 11² × 59¹

Step-2: Prime Factorization of 99960

Prime factors of 99960 are 2, 3, 5, 7, 17. Prime factorization of 99960 in exponential form is:

99960 = 2³ × 3¹ × 5¹ × 7² × 17¹

Step-3: Factors of 99946

List of positive integer factors of 99946 that divides 99946 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 121, 154, 242, 413, 649, 826, 847, 1298, 1694, 4543, 7139, 9086, 14278, 49973

Step-4: Factors of 99960

List of positive integer factors of 99960 that divides 99946 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 28, 30, 34, 35, 40, 42, 49, 51, 56, 60, 68, 70, 84, 85, 98, 102, 105, 119, 120, 136, 140, 147, 168, 170, 196, 204, 210, 238, 245, 255, 280, 294, 340, 357, 392, 408, 420, 476, 490, 510, 588, 595, 680, 714, 735, 833, 840, 952, 980, 1020, 1176, 1190, 1428, 1470, 1666, 1785, 1960, 2040, 2380, 2499, 2856, 2940, 3332, 3570, 4165, 4760, 4998, 5880, 6664, 7140, 8330, 9996, 12495, 14280, 16660, 19992, 24990, 33320, 49980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99946 and 99960. The biggest common factor number is the GCF number.
So the greatest common factor 99946 and 99960 is 14.

Also check out the Least Common Multiple of 99946 and 99960