What is the Greatest Common Factor of 60500 and 60516?

Greatest common factor (GCF) of 60500 and 60516 is 4.

GCF(60500,60516) = 4

We will now calculate the prime factors of 60500 and 60516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60500 and 60516.

How to find the GCF of 60500 and 60516?

We will first find the prime factorization of 60500 and 60516. After we will calculate the factors of 60500 and 60516 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 60516

Prime factors of 60516 are 2, 3, 41. Prime factorization of 60516 in exponential form is:

60516 = 2² × 3² × 41²

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 60516

List of positive integer factors of 60516 that divides 60500 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476, 1681, 3362, 5043, 6724, 10086, 15129, 20172, 30258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60500 and 60516. The biggest common factor number is the GCF number.
So the greatest common factor 60500 and 60516 is 4.

Also check out the Least Common Multiple of 60500 and 60516