What is the Greatest Common Factor of 60480 and 60492?

Greatest common factor (GCF) of 60480 and 60492 is 12.

GCF(60480,60492) = 12

We will now calculate the prime factors of 60480 and 60492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60480 and 60492.

How to find the GCF of 60480 and 60492?

We will first find the prime factorization of 60480 and 60492. After we will calculate the factors of 60480 and 60492 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 60492

Prime factors of 60492 are 2, 3, 71. Prime factorization of 60492 in exponential form is:

60492 = 2² × 3¹ × 71²

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 60492

List of positive integer factors of 60492 that divides 60480 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852, 5041, 10082, 15123, 20164, 30246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60480 and 60492. The biggest common factor number is the GCF number.
So the greatest common factor 60480 and 60492 is 12.

Also check out the Least Common Multiple of 60480 and 60492