What is the Greatest Common Factor of 60480 and 60494?

Greatest common factor (GCF) of 60480 and 60494 is 14.

GCF(60480,60494) = 14

We will now calculate the prime factors of 60480 and 60494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60480 and 60494.

How to find the GCF of 60480 and 60494?

We will first find the prime factorization of 60480 and 60494. After we will calculate the factors of 60480 and 60494 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60494

Prime factors of 60494 are 2, 7, 29, 149. Prime factorization of 60494 in exponential form is:

60494 = 2¹ × 7¹ × 29¹ × 149¹

Step-3: Factors of 60480

List of positive integer factors of 60480 that divides 60480 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

Step-4: Factors of 60494

List of positive integer factors of 60494 that divides 60480 without a remainder.

1, 2, 7, 14, 29, 58, 149, 203, 298, 406, 1043, 2086, 4321, 8642, 30247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60480 and 60494. The biggest common factor number is the GCF number.
So the greatest common factor 60480 and 60494 is 14.

Also check out the Least Common Multiple of 60480 and 60494