What is the Greatest Common Factor of 29862 and 29871?

Greatest common factor (GCF) of 29862 and 29871 is 9.

GCF(29862,29871) = 9

We will now calculate the prime factors of 29862 and 29871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29862 and 29871.

How to find the GCF of 29862 and 29871?

We will first find the prime factorization of 29862 and 29871. After we will calculate the factors of 29862 and 29871 and find the biggest common factor number .

Step-1: Prime Factorization of 29862

Prime factors of 29862 are 2, 3, 7, 79. Prime factorization of 29862 in exponential form is:

29862 = 2¹ × 3³ × 7¹ × 79¹

Step-2: Prime Factorization of 29871

Prime factors of 29871 are 3, 3319. Prime factorization of 29871 in exponential form is:

29871 = 3² × 3319¹

Step-3: Factors of 29862

List of positive integer factors of 29862 that divides 29862 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 79, 126, 158, 189, 237, 378, 474, 553, 711, 1106, 1422, 1659, 2133, 3318, 4266, 4977, 9954, 14931

Step-4: Factors of 29871

List of positive integer factors of 29871 that divides 29862 without a remainder.

1, 3, 9, 3319, 9957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29862 and 29871. The biggest common factor number is the GCF number.
So the greatest common factor 29862 and 29871 is 9.

Also check out the Least Common Multiple of 29862 and 29871