What is the Greatest Common Factor of 69615 and 69624?

Greatest common factor (GCF) of 69615 and 69624 is 9.

GCF(69615,69624) = 9

We will now calculate the prime factors of 69615 and 69624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69615 and 69624.

How to find the GCF of 69615 and 69624?

We will first find the prime factorization of 69615 and 69624. After we will calculate the factors of 69615 and 69624 and find the biggest common factor number .

Step-1: Prime Factorization of 69615

Prime factors of 69615 are 3, 5, 7, 13, 17. Prime factorization of 69615 in exponential form is:

69615 = 3² × 5¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 69624

Prime factors of 69624 are 2, 3, 967. Prime factorization of 69624 in exponential form is:

69624 = 2³ × 3² × 967¹

Step-3: Factors of 69615

List of positive integer factors of 69615 that divides 69615 without a remainder.

1, 3, 5, 7, 9, 13, 15, 17, 21, 35, 39, 45, 51, 63, 65, 85, 91, 105, 117, 119, 153, 195, 221, 255, 273, 315, 357, 455, 585, 595, 663, 765, 819, 1071, 1105, 1365, 1547, 1785, 1989, 3315, 4095, 4641, 5355, 7735, 9945, 13923, 23205

Step-4: Factors of 69624

List of positive integer factors of 69624 that divides 69615 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 967, 1934, 2901, 3868, 5802, 7736, 8703, 11604, 17406, 23208, 34812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69615 and 69624. The biggest common factor number is the GCF number.
So the greatest common factor 69615 and 69624 is 9.

Also check out the Least Common Multiple of 69615 and 69624