What is the Greatest Common Factor of 60576 and 60590?

Greatest common factor (GCF) of 60576 and 60590 is 2.

GCF(60576,60590) = 2

We will now calculate the prime factors of 60576 and 60590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60576 and 60590.

How to find the GCF of 60576 and 60590?

We will first find the prime factorization of 60576 and 60590. After we will calculate the factors of 60576 and 60590 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 60590

Prime factors of 60590 are 2, 5, 73, 83. Prime factorization of 60590 in exponential form is:

60590 = 2¹ × 5¹ × 73¹ × 83¹

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 60590

List of positive integer factors of 60590 that divides 60576 without a remainder.

1, 2, 5, 10, 73, 83, 146, 166, 365, 415, 730, 830, 6059, 12118, 30295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60576 and 60590. The biggest common factor number is the GCF number.
So the greatest common factor 60576 and 60590 is 2.

Also check out the Least Common Multiple of 60576 and 60590