What is the Greatest Common Factor of 69480 and 69498?

Greatest common factor (GCF) of 69480 and 69498 is 18.

GCF(69480,69498) = 18

We will now calculate the prime factors of 69480 and 69498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69480 and 69498.

How to find the GCF of 69480 and 69498?

We will first find the prime factorization of 69480 and 69498. After we will calculate the factors of 69480 and 69498 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 69498

Prime factors of 69498 are 2, 3, 11, 13. Prime factorization of 69498 in exponential form is:

69498 = 2¹ × 3⁵ × 11¹ × 13¹

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 69498

List of positive integer factors of 69498 that divides 69480 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 81, 99, 117, 143, 162, 198, 234, 243, 286, 297, 351, 429, 486, 594, 702, 858, 891, 1053, 1287, 1782, 2106, 2574, 2673, 3159, 3861, 5346, 6318, 7722, 11583, 23166, 34749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69480 and 69498. The biggest common factor number is the GCF number.
So the greatest common factor 69480 and 69498 is 18.

Also check out the Least Common Multiple of 69480 and 69498