What is the Greatest Common Factor of 60320 and 60338?

Greatest common factor (GCF) of 60320 and 60338 is 2.

GCF(60320,60338) = 2

We will now calculate the prime factors of 60320 and 60338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60320 and 60338.

How to find the GCF of 60320 and 60338?

We will first find the prime factorization of 60320 and 60338. After we will calculate the factors of 60320 and 60338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60338

Prime factors of 60338 are 2, 30169. Prime factorization of 60338 in exponential form is:

60338 = 2¹ × 30169¹

Step-3: Factors of 60320

List of positive integer factors of 60320 that divides 60320 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

Step-4: Factors of 60338

List of positive integer factors of 60338 that divides 60320 without a remainder.

1, 2, 30169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60320 and 60338. The biggest common factor number is the GCF number.
So the greatest common factor 60320 and 60338 is 2.

Also check out the Least Common Multiple of 60320 and 60338