What is the Greatest Common Factor of 60250 and 60260?

Greatest common factor (GCF) of 60250 and 60260 is 10.

GCF(60250,60260) = 10

We will now calculate the prime factors of 60250 and 60260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60250 and 60260.

How to find the GCF of 60250 and 60260?

We will first find the prime factorization of 60250 and 60260. After we will calculate the factors of 60250 and 60260 and find the biggest common factor number .

Step-1: Prime Factorization of 60250

Prime factors of 60250 are 2, 5, 241. Prime factorization of 60250 in exponential form is:

60250 = 2¹ × 5³ × 241¹

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 60250

List of positive integer factors of 60250 that divides 60250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 241, 250, 482, 1205, 2410, 6025, 12050, 30125

Step-4: Factors of 60260

List of positive integer factors of 60260 that divides 60250 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 60250 and 60260. The biggest common factor number is the GCF number.
So the greatest common factor 60250 and 60260 is 10.

Also check out the Least Common Multiple of 60250 and 60260