What is the Greatest Common Factor of 53816 and 53830?

Greatest common factor (GCF) of 53816 and 53830 is 14.

GCF(53816,53830) = 14

We will now calculate the prime factors of 53816 and 53830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53816 and 53830.

How to find the GCF of 53816 and 53830?

We will first find the prime factorization of 53816 and 53830. After we will calculate the factors of 53816 and 53830 and find the biggest common factor number .

Step-1: Prime Factorization of 53816

Prime factors of 53816 are 2, 7, 31. Prime factorization of 53816 in exponential form is:

53816 = 2³ × 7¹ × 31²

Step-2: Prime Factorization of 53830

Prime factors of 53830 are 2, 5, 7, 769. Prime factorization of 53830 in exponential form is:

53830 = 2¹ × 5¹ × 7¹ × 769¹

Step-3: Factors of 53816

List of positive integer factors of 53816 that divides 53816 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 961, 1736, 1922, 3844, 6727, 7688, 13454, 26908

Step-4: Factors of 53830

List of positive integer factors of 53830 that divides 53816 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 769, 1538, 3845, 5383, 7690, 10766, 26915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53816 and 53830. The biggest common factor number is the GCF number.
So the greatest common factor 53816 and 53830 is 14.

Also check out the Least Common Multiple of 53816 and 53830