What is the Greatest Common Factor of 51824 and 51830?

Greatest common factor (GCF) of 51824 and 51830 is 2.

GCF(51824,51830) = 2

We will now calculate the prime factors of 51824 and 51830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51824 and 51830.

How to find the GCF of 51824 and 51830?

We will first find the prime factorization of 51824 and 51830. After we will calculate the factors of 51824 and 51830 and find the biggest common factor number .

Step-1: Prime Factorization of 51824

Prime factors of 51824 are 2, 41, 79. Prime factorization of 51824 in exponential form is:

51824 = 2⁴ × 41¹ × 79¹

Step-2: Prime Factorization of 51830

Prime factors of 51830 are 2, 5, 71, 73. Prime factorization of 51830 in exponential form is:

51830 = 2¹ × 5¹ × 71¹ × 73¹

Step-3: Factors of 51824

List of positive integer factors of 51824 that divides 51824 without a remainder.

1, 2, 4, 8, 16, 41, 79, 82, 158, 164, 316, 328, 632, 656, 1264, 3239, 6478, 12956, 25912

Step-4: Factors of 51830

List of positive integer factors of 51830 that divides 51824 without a remainder.

1, 2, 5, 10, 71, 73, 142, 146, 355, 365, 710, 730, 5183, 10366, 25915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51824 and 51830. The biggest common factor number is the GCF number.
So the greatest common factor 51824 and 51830 is 2.

Also check out the Least Common Multiple of 51824 and 51830