What is the Greatest Common Factor of 69465 and 69480?

Greatest common factor (GCF) of 69465 and 69480 is 15.

GCF(69465,69480) = 15

We will now calculate the prime factors of 69465 and 69480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69465 and 69480.

How to find the GCF of 69465 and 69480?

We will first find the prime factorization of 69465 and 69480. After we will calculate the factors of 69465 and 69480 and find the biggest common factor number .

Step-1: Prime Factorization of 69465

Prime factors of 69465 are 3, 5, 11, 421. Prime factorization of 69465 in exponential form is:

69465 = 3¹ × 5¹ × 11¹ × 421¹

Step-2: Prime Factorization of 69480

Prime factors of 69480 are 2, 3, 5, 193. Prime factorization of 69480 in exponential form is:

69480 = 2³ × 3² × 5¹ × 193¹

Step-3: Factors of 69465

List of positive integer factors of 69465 that divides 69465 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 421, 1263, 2105, 4631, 6315, 13893, 23155

Step-4: Factors of 69480

List of positive integer factors of 69480 that divides 69465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 193, 360, 386, 579, 772, 965, 1158, 1544, 1737, 1930, 2316, 2895, 3474, 3860, 4632, 5790, 6948, 7720, 8685, 11580, 13896, 17370, 23160, 34740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69465 and 69480. The biggest common factor number is the GCF number.
So the greatest common factor 69465 and 69480 is 15.

Also check out the Least Common Multiple of 69465 and 69480