What is the Greatest Common Factor of 60496 and 60510?

Greatest common factor (GCF) of 60496 and 60510 is 2.

GCF(60496,60510) = 2

We will now calculate the prime factors of 60496 and 60510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60496 and 60510.

How to find the GCF of 60496 and 60510?

We will first find the prime factorization of 60496 and 60510. After we will calculate the factors of 60496 and 60510 and find the biggest common factor number .

Step-1: Prime Factorization of 60496

Prime factors of 60496 are 2, 19, 199. Prime factorization of 60496 in exponential form is:

60496 = 2⁴ × 19¹ × 199¹

Step-2: Prime Factorization of 60510

Prime factors of 60510 are 2, 3, 5, 2017. Prime factorization of 60510 in exponential form is:

60510 = 2¹ × 3¹ × 5¹ × 2017¹

Step-3: Factors of 60496

List of positive integer factors of 60496 that divides 60496 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 199, 304, 398, 796, 1592, 3184, 3781, 7562, 15124, 30248

Step-4: Factors of 60510

List of positive integer factors of 60510 that divides 60496 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2017, 4034, 6051, 10085, 12102, 20170, 30255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60496 and 60510. The biggest common factor number is the GCF number.
So the greatest common factor 60496 and 60510 is 2.

Also check out the Least Common Multiple of 60496 and 60510