What is the Greatest Common Factor of 60576 and 60587?

Greatest common factor (GCF) of 60576 and 60587 is 1.

GCF(60576,60587) = 1

We will now calculate the prime factors of 60576 and 60587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60576 and 60587.

How to find the GCF of 60576 and 60587?

We will first find the prime factorization of 60576 and 60587. After we will calculate the factors of 60576 and 60587 and find the biggest common factor number .

Step-1: Prime Factorization of 60576

Prime factors of 60576 are 2, 3, 631. Prime factorization of 60576 in exponential form is:

60576 = 2⁵ × 3¹ × 631¹

Step-2: Prime Factorization of 60587

Prime factors of 60587 are 43, 1409. Prime factorization of 60587 in exponential form is:

60587 = 43¹ × 1409¹

Step-3: Factors of 60576

List of positive integer factors of 60576 that divides 60576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 631, 1262, 1893, 2524, 3786, 5048, 7572, 10096, 15144, 20192, 30288

Step-4: Factors of 60587

List of positive integer factors of 60587 that divides 60576 without a remainder.

1, 43, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60576 and 60587. The biggest common factor number is the GCF number.
So the greatest common factor 60576 and 60587 is 1.

Also check out the Least Common Multiple of 60576 and 60587