What is the Greatest Common Factor of 60508 and 60526?

Greatest common factor (GCF) of 60508 and 60526 is 2.

GCF(60508,60526) = 2

We will now calculate the prime factors of 60508 and 60526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60508 and 60526.

How to find the GCF of 60508 and 60526?

We will first find the prime factorization of 60508 and 60526. After we will calculate the factors of 60508 and 60526 and find the biggest common factor number .

Step-1: Prime Factorization of 60508

Prime factors of 60508 are 2, 7, 2161. Prime factorization of 60508 in exponential form is:

60508 = 2² × 7¹ × 2161¹

Step-2: Prime Factorization of 60526

Prime factors of 60526 are 2, 53, 571. Prime factorization of 60526 in exponential form is:

60526 = 2¹ × 53¹ × 571¹

Step-3: Factors of 60508

List of positive integer factors of 60508 that divides 60508 without a remainder.

1, 2, 4, 7, 14, 28, 2161, 4322, 8644, 15127, 30254

Step-4: Factors of 60526

List of positive integer factors of 60526 that divides 60508 without a remainder.

1, 2, 53, 106, 571, 1142, 30263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60508 and 60526. The biggest common factor number is the GCF number.
So the greatest common factor 60508 and 60526 is 2.

Also check out the Least Common Multiple of 60508 and 60526