What is the Greatest Common Factor of 69471 and 69480?

Greatest common factor (GCF) of 69471 and 69480 is 9.

GCF(69471,69480) = 9

We will now calculate the prime factors of 69471 and 69480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69471 and 69480.

How to find the GCF of 69471 and 69480?

We will first find the prime factorization of 69471 and 69480. After we will calculate the factors of 69471 and 69480 and find the biggest common factor number .

Step-1: Prime Factorization of 69471

Prime factors of 69471 are 3, 31, 83. Prime factorization of 69471 in exponential form is:

69471 = 3³ × 31¹ × 83¹

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 69471

List of positive integer factors of 69471 that divides 69471 without a remainder.

1, 3, 9, 27, 31, 83, 93, 249, 279, 747, 837, 2241, 2573, 7719, 23157

Step-4: Factors of 69480

List of positive integer factors of 69480 that divides 69471 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 69471 and 69480. The biggest common factor number is the GCF number.
So the greatest common factor 69471 and 69480 is 9.

Also check out the Least Common Multiple of 69471 and 69480