What is the Greatest Common Factor of 71830 and 71844?

Greatest common factor (GCF) of 71830 and 71844 is 2.

GCF(71830,71844) = 2

We will now calculate the prime factors of 71830 and 71844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71830 and 71844.

How to find the GCF of 71830 and 71844?

We will first find the prime factorization of 71830 and 71844. After we will calculate the factors of 71830 and 71844 and find the biggest common factor number .

Step-1: Prime Factorization of 71830

Prime factors of 71830 are 2, 5, 11, 653. Prime factorization of 71830 in exponential form is:

71830 = 2¹ × 5¹ × 11¹ × 653¹

Step-2: Prime Factorization of 71844

Prime factors of 71844 are 2, 3, 5987. Prime factorization of 71844 in exponential form is:

71844 = 2² × 3¹ × 5987¹

Step-3: Factors of 71830

List of positive integer factors of 71830 that divides 71830 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 653, 1306, 3265, 6530, 7183, 14366, 35915

Step-4: Factors of 71844

List of positive integer factors of 71844 that divides 71830 without a remainder.

1, 2, 3, 4, 6, 12, 5987, 11974, 17961, 23948, 35922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71830 and 71844. The biggest common factor number is the GCF number.
So the greatest common factor 71830 and 71844 is 2.

Also check out the Least Common Multiple of 71830 and 71844