What is the Greatest Common Factor of 60812 and 60824?

Greatest common factor (GCF) of 60812 and 60824 is 4.

GCF(60812,60824) = 4

We will now calculate the prime factors of 60812 and 60824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60812 and 60824.

How to find the GCF of 60812 and 60824?

We will first find the prime factorization of 60812 and 60824. After we will calculate the factors of 60812 and 60824 and find the biggest common factor number .

Step-1: Prime Factorization of 60812

Prime factors of 60812 are 2, 23, 661. Prime factorization of 60812 in exponential form is:

60812 = 2² × 23¹ × 661¹

Step-2: Prime Factorization of 60824

Prime factors of 60824 are 2, 7603. Prime factorization of 60824 in exponential form is:

60824 = 2³ × 7603¹

Step-3: Factors of 60812

List of positive integer factors of 60812 that divides 60812 without a remainder.

1, 2, 4, 23, 46, 92, 661, 1322, 2644, 15203, 30406

Step-4: Factors of 60824

List of positive integer factors of 60824 that divides 60812 without a remainder.

1, 2, 4, 8, 7603, 15206, 30412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60812 and 60824. The biggest common factor number is the GCF number.
So the greatest common factor 60812 and 60824 is 4.

Also check out the Least Common Multiple of 60812 and 60824