What is the Greatest Common Factor of 53830 and 53842?

Greatest common factor (GCF) of 53830 and 53842 is 2.

GCF(53830,53842) = 2

We will now calculate the prime factors of 53830 and 53842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53830 and 53842.

How to find the GCF of 53830 and 53842?

We will first find the prime factorization of 53830 and 53842. After we will calculate the factors of 53830 and 53842 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 53842

Prime factors of 53842 are 2, 26921. Prime factorization of 53842 in exponential form is:

53842 = 2¹ × 26921¹

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 53842

List of positive integer factors of 53842 that divides 53830 without a remainder.

1, 2, 26921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53830 and 53842. The biggest common factor number is the GCF number.
So the greatest common factor 53830 and 53842 is 2.

Also check out the Least Common Multiple of 53830 and 53842