What is the Greatest Common Factor of 99960 and 99964?

Greatest common factor (GCF) of 99960 and 99964 is 4.

GCF(99960,99964) = 4

We will now calculate the prime factors of 99960 and 99964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99960 and 99964.

How to find the GCF of 99960 and 99964?

We will first find the prime factorization of 99960 and 99964. After we will calculate the factors of 99960 and 99964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99964

Prime factors of 99964 are 2, 67, 373. Prime factorization of 99964 in exponential form is:

99964 = 2² × 67¹ × 373¹

Step-3: Factors of 99960

List of positive integer factors of 99960 that divides 99960 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

Step-4: Factors of 99964

List of positive integer factors of 99964 that divides 99960 without a remainder.

1, 2, 4, 67, 134, 268, 373, 746, 1492, 24991, 49982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99960 and 99964. The biggest common factor number is the GCF number.
So the greatest common factor 99960 and 99964 is 4.

Also check out the Least Common Multiple of 99960 and 99964