What is the Greatest Common Factor of 69474 and 69480?

Greatest common factor (GCF) of 69474 and 69480 is 6.

GCF(69474,69480) = 6

We will now calculate the prime factors of 69474 and 69480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69474 and 69480.

How to find the GCF of 69474 and 69480?

We will first find the prime factorization of 69474 and 69480. After we will calculate the factors of 69474 and 69480 and find the biggest common factor number .

Step-1: Prime Factorization of 69474

Prime factors of 69474 are 2, 3, 11579. Prime factorization of 69474 in exponential form is:

69474 = 2¹ × 3¹ × 11579¹

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 69474

List of positive integer factors of 69474 that divides 69474 without a remainder.

1, 2, 3, 6, 11579, 23158, 34737

Step-4: Factors of 69480

List of positive integer factors of 69480 that divides 69474 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 69474 and 69480. The biggest common factor number is the GCF number.
So the greatest common factor 69474 and 69480 is 6.

Also check out the Least Common Multiple of 69474 and 69480