What is the Greatest Common Factor of 60462 and 60480?

Greatest common factor (GCF) of 60462 and 60480 is 18.

GCF(60462,60480) = 18

We will now calculate the prime factors of 60462 and 60480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60462 and 60480.

How to find the GCF of 60462 and 60480?

We will first find the prime factorization of 60462 and 60480. After we will calculate the factors of 60462 and 60480 and find the biggest common factor number .

Step-1: Prime Factorization of 60462

Prime factors of 60462 are 2, 3, 3359. Prime factorization of 60462 in exponential form is:

60462 = 2¹ × 3² × 3359¹

Step-2: Prime Factorization of 60480

Prime factors of 60480 are 2, 3, 5, 7. Prime factorization of 60480 in exponential form is:

60480 = 2⁶ × 3³ × 5¹ × 7¹

Step-3: Factors of 60462

List of positive integer factors of 60462 that divides 60462 without a remainder.

1, 2, 3, 6, 9, 18, 3359, 6718, 10077, 20154, 30231

Step-4: Factors of 60480

List of positive integer factors of 60480 that divides 60462 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 108, 112, 120, 126, 135, 140, 144, 160, 168, 180, 189, 192, 210, 216, 224, 240, 252, 270, 280, 288, 315, 320, 336, 360, 378, 420, 432, 448, 480, 504, 540, 560, 576, 630, 672, 720, 756, 840, 864, 945, 960, 1008, 1080, 1120, 1260, 1344, 1440, 1512, 1680, 1728, 1890, 2016, 2160, 2240, 2520, 2880, 3024, 3360, 3780, 4032, 4320, 5040, 6048, 6720, 7560, 8640, 10080, 12096, 15120, 20160, 30240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60462 and 60480. The biggest common factor number is the GCF number.
So the greatest common factor 60462 and 60480 is 18.

Also check out the Least Common Multiple of 60462 and 60480