What is the Greatest Common Factor of 69480 and 69495?

Greatest common factor (GCF) of 69480 and 69495 is 15.

GCF(69480,69495) = 15

We will now calculate the prime factors of 69480 and 69495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69480 and 69495.

How to find the GCF of 69480 and 69495?

We will first find the prime factorization of 69480 and 69495. After we will calculate the factors of 69480 and 69495 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69495

Prime factors of 69495 are 3, 5, 41, 113. Prime factorization of 69495 in exponential form is:

69495 = 3¹ × 5¹ × 41¹ × 113¹

Step-3: Factors of 69480

List of positive integer factors of 69480 that divides 69480 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

Step-4: Factors of 69495

List of positive integer factors of 69495 that divides 69480 without a remainder.

1, 3, 5, 15, 41, 113, 123, 205, 339, 565, 615, 1695, 4633, 13899, 23165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69480 and 69495. The biggest common factor number is the GCF number.
So the greatest common factor 69480 and 69495 is 15.

Also check out the Least Common Multiple of 69480 and 69495