What is the Greatest Common Factor of 60500 and 60508?

Greatest common factor (GCF) of 60500 and 60508 is 4.

GCF(60500,60508) = 4

We will now calculate the prime factors of 60500 and 60508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60500 and 60508.

How to find the GCF of 60500 and 60508?

We will first find the prime factorization of 60500 and 60508. After we will calculate the factors of 60500 and 60508 and find the biggest common factor number .

Step-1: Prime Factorization of 60500

Prime factors of 60500 are 2, 5, 11. Prime factorization of 60500 in exponential form is:

60500 = 2² × 5³ × 11²

Step-2: 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-3: Factors of 60500

List of positive integer factors of 60500 that divides 60500 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 125, 220, 242, 250, 275, 484, 500, 550, 605, 1100, 1210, 1375, 2420, 2750, 3025, 5500, 6050, 12100, 15125, 30250

Step-4: Factors of 60508

List of positive integer factors of 60508 that divides 60500 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60500 and 60508. The biggest common factor number is the GCF number.
So the greatest common factor 60500 and 60508 is 4.

Also check out the Least Common Multiple of 60500 and 60508