What is the Greatest Common Factor of 60506 and 60512?

Greatest common factor (GCF) of 60506 and 60512 is 2.

GCF(60506,60512) = 2

We will now calculate the prime factors of 60506 and 60512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60506 and 60512.

How to find the GCF of 60506 and 60512?

We will first find the prime factorization of 60506 and 60512. After we will calculate the factors of 60506 and 60512 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 60512

Prime factors of 60512 are 2, 31, 61. Prime factorization of 60512 in exponential form is:

60512 = 2⁵ × 31¹ × 61¹

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 60512

List of positive integer factors of 60512 that divides 60506 without a remainder.

1, 2, 4, 8, 16, 31, 32, 61, 62, 122, 124, 244, 248, 488, 496, 976, 992, 1891, 1952, 3782, 7564, 15128, 30256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60506 and 60512. The biggest common factor number is the GCF number.
So the greatest common factor 60506 and 60512 is 2.

Also check out the Least Common Multiple of 60506 and 60512