What is the Greatest Common Factor of 71844 and 71862?

Greatest common factor (GCF) of 71844 and 71862 is 6.

GCF(71844,71862) = 6

We will now calculate the prime factors of 71844 and 71862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71844 and 71862.

How to find the GCF of 71844 and 71862?

We will first find the prime factorization of 71844 and 71862. After we will calculate the factors of 71844 and 71862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71862

Prime factors of 71862 are 2, 3, 7, 29, 59. Prime factorization of 71862 in exponential form is:

71862 = 2¹ × 3¹ × 7¹ × 29¹ × 59¹

Step-3: Factors of 71844

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

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

Step-4: Factors of 71862

List of positive integer factors of 71862 that divides 71844 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 59, 87, 118, 174, 177, 203, 354, 406, 413, 609, 826, 1218, 1239, 1711, 2478, 3422, 5133, 10266, 11977, 23954, 35931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71844 and 71862. The biggest common factor number is the GCF number.
So the greatest common factor 71844 and 71862 is 6.

Also check out the Least Common Multiple of 71844 and 71862