What is the Greatest Common Factor of 60305 and 60320?

Greatest common factor (GCF) of 60305 and 60320 is 5.

GCF(60305,60320) = 5

We will now calculate the prime factors of 60305 and 60320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60305 and 60320.

How to find the GCF of 60305 and 60320?

We will first find the prime factorization of 60305 and 60320. After we will calculate the factors of 60305 and 60320 and find the biggest common factor number .

Step-1: Prime Factorization of 60305

Prime factors of 60305 are 5, 7, 1723. Prime factorization of 60305 in exponential form is:

60305 = 5¹ × 7¹ × 1723¹

Step-2: Prime Factorization of 60320

Prime factors of 60320 are 2, 5, 13, 29. Prime factorization of 60320 in exponential form is:

60320 = 2⁵ × 5¹ × 13¹ × 29¹

Step-3: Factors of 60305

List of positive integer factors of 60305 that divides 60305 without a remainder.

1, 5, 7, 35, 1723, 8615, 12061

Step-4: Factors of 60320

List of positive integer factors of 60320 that divides 60305 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 29, 32, 40, 52, 58, 65, 80, 104, 116, 130, 145, 160, 208, 232, 260, 290, 377, 416, 464, 520, 580, 754, 928, 1040, 1160, 1508, 1885, 2080, 2320, 3016, 3770, 4640, 6032, 7540, 12064, 15080, 30160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60305 and 60320. The biggest common factor number is the GCF number.
So the greatest common factor 60305 and 60320 is 5.

Also check out the Least Common Multiple of 60305 and 60320