What is the Greatest Common Factor of 60480 and 60487?

Greatest common factor (GCF) of 60480 and 60487 is 7.

GCF(60480,60487) = 7

We will now calculate the prime factors of 60480 and 60487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60480 and 60487.

How to find the GCF of 60480 and 60487?

We will first find the prime factorization of 60480 and 60487. After we will calculate the factors of 60480 and 60487 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 60487

Prime factors of 60487 are 7, 8641. Prime factorization of 60487 in exponential form is:

60487 = 7¹ × 8641¹

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 60487

List of positive integer factors of 60487 that divides 60480 without a remainder.

1, 7, 8641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60480 and 60487. The biggest common factor number is the GCF number.
So the greatest common factor 60480 and 60487 is 7.

Also check out the Least Common Multiple of 60480 and 60487