What is the Greatest Common Factor of 67473 and 67480?

Greatest common factor (GCF) of 67473 and 67480 is 7.

GCF(67473,67480) = 7

We will now calculate the prime factors of 67473 and 67480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67473 and 67480.

How to find the GCF of 67473 and 67480?

We will first find the prime factorization of 67473 and 67480. After we will calculate the factors of 67473 and 67480 and find the biggest common factor number .

Step-1: Prime Factorization of 67473

Prime factors of 67473 are 3, 7, 17. Prime factorization of 67473 in exponential form is:

67473 = 3⁴ × 7² × 17¹

Step-2: Prime Factorization of 67480

Prime factors of 67480 are 2, 5, 7, 241. Prime factorization of 67480 in exponential form is:

67480 = 2³ × 5¹ × 7¹ × 241¹

Step-3: Factors of 67473

List of positive integer factors of 67473 that divides 67473 without a remainder.

1, 3, 7, 9, 17, 21, 27, 49, 51, 63, 81, 119, 147, 153, 189, 357, 441, 459, 567, 833, 1071, 1323, 1377, 2499, 3213, 3969, 7497, 9639, 22491

Step-4: Factors of 67480

List of positive integer factors of 67480 that divides 67473 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 241, 280, 482, 964, 1205, 1687, 1928, 2410, 3374, 4820, 6748, 8435, 9640, 13496, 16870, 33740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67473 and 67480. The biggest common factor number is the GCF number.
So the greatest common factor 67473 and 67480 is 7.

Also check out the Least Common Multiple of 67473 and 67480