What is the Greatest Common Factor of 60784 and 60796?

Greatest common factor (GCF) of 60784 and 60796 is 4.

GCF(60784,60796) = 4

We will now calculate the prime factors of 60784 and 60796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60784 and 60796.

How to find the GCF of 60784 and 60796?

We will first find the prime factorization of 60784 and 60796. After we will calculate the factors of 60784 and 60796 and find the biggest common factor number .

Step-1: Prime Factorization of 60784

Prime factors of 60784 are 2, 29, 131. Prime factorization of 60784 in exponential form is:

60784 = 2⁴ × 29¹ × 131¹

Step-2: Prime Factorization of 60796

Prime factors of 60796 are 2, 15199. Prime factorization of 60796 in exponential form is:

60796 = 2² × 15199¹

Step-3: Factors of 60784

List of positive integer factors of 60784 that divides 60784 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 131, 232, 262, 464, 524, 1048, 2096, 3799, 7598, 15196, 30392

Step-4: Factors of 60796

List of positive integer factors of 60796 that divides 60784 without a remainder.

1, 2, 4, 15199, 30398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60784 and 60796. The biggest common factor number is the GCF number.
So the greatest common factor 60784 and 60796 is 4.

Also check out the Least Common Multiple of 60784 and 60796