What is the Greatest Common Factor of 60506 and 60514?

Greatest common factor (GCF) of 60506 and 60514 is 2.

GCF(60506,60514) = 2

We will now calculate the prime factors of 60506 and 60514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60506 and 60514.

How to find the GCF of 60506 and 60514?

We will first find the prime factorization of 60506 and 60514. After we will calculate the factors of 60506 and 60514 and find the biggest common factor number .

Step-1: Prime Factorization of 60506

Prime factors of 60506 are 2, 30253. Prime factorization of 60506 in exponential form is:

60506 = 2¹ × 30253¹

Step-2: Prime Factorization of 60514

Prime factors of 60514 are 2, 79, 383. Prime factorization of 60514 in exponential form is:

60514 = 2¹ × 79¹ × 383¹

Step-3: Factors of 60506

List of positive integer factors of 60506 that divides 60506 without a remainder.

1, 2, 30253

Step-4: Factors of 60514

List of positive integer factors of 60514 that divides 60506 without a remainder.

1, 2, 79, 158, 383, 766, 30257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60506 and 60514. The biggest common factor number is the GCF number.
So the greatest common factor 60506 and 60514 is 2.

Also check out the Least Common Multiple of 60506 and 60514