What is the Greatest Common Factor of 60245 and 60260?

Greatest common factor (GCF) of 60245 and 60260 is 5.

GCF(60245,60260) = 5

We will now calculate the prime factors of 60245 and 60260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60245 and 60260.

How to find the GCF of 60245 and 60260?

We will first find the prime factorization of 60245 and 60260. After we will calculate the factors of 60245 and 60260 and find the biggest common factor number .

Step-1: Prime Factorization of 60245

Prime factors of 60245 are 5, 12049. Prime factorization of 60245 in exponential form is:

60245 = 5¹ × 12049¹

Step-2: Prime Factorization of 60260

Prime factors of 60260 are 2, 5, 23, 131. Prime factorization of 60260 in exponential form is:

60260 = 2² × 5¹ × 23¹ × 131¹

Step-3: Factors of 60245

List of positive integer factors of 60245 that divides 60245 without a remainder.

1, 5, 12049

Step-4: Factors of 60260

List of positive integer factors of 60260 that divides 60245 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 131, 230, 262, 460, 524, 655, 1310, 2620, 3013, 6026, 12052, 15065, 30130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60245 and 60260. The biggest common factor number is the GCF number.
So the greatest common factor 60245 and 60260 is 5.

Also check out the Least Common Multiple of 60245 and 60260