What is the Greatest Common Factor of 60496 and 60504?

Greatest common factor (GCF) of 60496 and 60504 is 8.

GCF(60496,60504) = 8

We will now calculate the prime factors of 60496 and 60504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60496 and 60504.

How to find the GCF of 60496 and 60504?

We will first find the prime factorization of 60496 and 60504. After we will calculate the factors of 60496 and 60504 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 60504

Prime factors of 60504 are 2, 3, 2521. Prime factorization of 60504 in exponential form is:

60504 = 2³ × 3¹ × 2521¹

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 60504

List of positive integer factors of 60504 that divides 60496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2521, 5042, 7563, 10084, 15126, 20168, 30252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60496 and 60504. The biggest common factor number is the GCF number.
So the greatest common factor 60496 and 60504 is 8.

Also check out the Least Common Multiple of 60496 and 60504