What is the Greatest Common Factor of 60496 and 60507?

Greatest common factor (GCF) of 60496 and 60507 is 1.

GCF(60496,60507) = 1

We will now calculate the prime factors of 60496 and 60507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60496 and 60507.

How to find the GCF of 60496 and 60507?

We will first find the prime factorization of 60496 and 60507. After we will calculate the factors of 60496 and 60507 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 60507

Prime factors of 60507 are 3, 83. Prime factorization of 60507 in exponential form is:

60507 = 3⁶ × 83¹

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 60507

List of positive integer factors of 60507 that divides 60496 without a remainder.

1, 3, 9, 27, 81, 83, 243, 249, 729, 747, 2241, 6723, 20169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60496 and 60507. The biggest common factor number is the GCF number.
So the greatest common factor 60496 and 60507 is 1.

Also check out the Least Common Multiple of 60496 and 60507