What is the Greatest Common Factor of 60500 and 60515?

Greatest common factor (GCF) of 60500 and 60515 is 5.

GCF(60500,60515) = 5

We will now calculate the prime factors of 60500 and 60515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60500 and 60515.

How to find the GCF of 60500 and 60515?

We will first find the prime factorization of 60500 and 60515. After we will calculate the factors of 60500 and 60515 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 60515

Prime factors of 60515 are 5, 7, 13, 19. Prime factorization of 60515 in exponential form is:

60515 = 5¹ × 7² × 13¹ × 19¹

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 60515

List of positive integer factors of 60515 that divides 60500 without a remainder.

1, 5, 7, 13, 19, 35, 49, 65, 91, 95, 133, 245, 247, 455, 637, 665, 931, 1235, 1729, 3185, 4655, 8645, 12103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60500 and 60515. The biggest common factor number is the GCF number.
So the greatest common factor 60500 and 60515 is 5.

Also check out the Least Common Multiple of 60500 and 60515