What is the Greatest Common Factor of 53830 and 53836?

Greatest common factor (GCF) of 53830 and 53836 is 2.

GCF(53830,53836) = 2

We will now calculate the prime factors of 53830 and 53836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53830 and 53836.

How to find the GCF of 53830 and 53836?

We will first find the prime factorization of 53830 and 53836. After we will calculate the factors of 53830 and 53836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53836

Prime factors of 53836 are 2, 43, 313. Prime factorization of 53836 in exponential form is:

53836 = 2² × 43¹ × 313¹

Step-3: Factors of 53830

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

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

Step-4: Factors of 53836

List of positive integer factors of 53836 that divides 53830 without a remainder.

1, 2, 4, 43, 86, 172, 313, 626, 1252, 13459, 26918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53830 and 53836. The biggest common factor number is the GCF number.
So the greatest common factor 53830 and 53836 is 2.

Also check out the Least Common Multiple of 53830 and 53836