What is the Greatest Common Factor of 60812 and 60830?

Greatest common factor (GCF) of 60812 and 60830 is 2.

GCF(60812,60830) = 2

We will now calculate the prime factors of 60812 and 60830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60812 and 60830.

How to find the GCF of 60812 and 60830?

We will first find the prime factorization of 60812 and 60830. After we will calculate the factors of 60812 and 60830 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 60830

Prime factors of 60830 are 2, 5, 7, 11, 79. Prime factorization of 60830 in exponential form is:

60830 = 2¹ × 5¹ × 7¹ × 11¹ × 79¹

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 60830

List of positive integer factors of 60830 that divides 60812 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 79, 110, 154, 158, 385, 395, 553, 770, 790, 869, 1106, 1738, 2765, 4345, 5530, 6083, 8690, 12166, 30415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60812 and 60830. The biggest common factor number is the GCF number.
So the greatest common factor 60812 and 60830 is 2.

Also check out the Least Common Multiple of 60812 and 60830