What is the Greatest Common Factor of 60474 and 60480?

Greatest common factor (GCF) of 60474 and 60480 is 6.

GCF(60474,60480) = 6

We will now calculate the prime factors of 60474 and 60480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60474 and 60480.

How to find the GCF of 60474 and 60480?

We will first find the prime factorization of 60474 and 60480. After we will calculate the factors of 60474 and 60480 and find the biggest common factor number .

Step-1: Prime Factorization of 60474

Prime factors of 60474 are 2, 3, 10079. Prime factorization of 60474 in exponential form is:

60474 = 2¹ × 3¹ × 10079¹

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 60474

List of positive integer factors of 60474 that divides 60474 without a remainder.

1, 2, 3, 6, 10079, 20158, 30237

Step-4: Factors of 60480

List of positive integer factors of 60480 that divides 60474 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 60474 and 60480. The biggest common factor number is the GCF number.
So the greatest common factor 60474 and 60480 is 6.

Also check out the Least Common Multiple of 60474 and 60480