What is the Greatest Common Factor of 29848 and 29862?

Greatest common factor (GCF) of 29848 and 29862 is 14.

GCF(29848,29862) = 14

We will now calculate the prime factors of 29848 and 29862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29848 and 29862.

How to find the GCF of 29848 and 29862?

We will first find the prime factorization of 29848 and 29862. After we will calculate the factors of 29848 and 29862 and find the biggest common factor number .

Step-1: Prime Factorization of 29848

Prime factors of 29848 are 2, 7, 13, 41. Prime factorization of 29848 in exponential form is:

29848 = 2³ × 7¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 29848

List of positive integer factors of 29848 that divides 29848 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 41, 52, 56, 82, 91, 104, 164, 182, 287, 328, 364, 533, 574, 728, 1066, 1148, 2132, 2296, 3731, 4264, 7462, 14924

Step-4: Factors of 29862

List of positive integer factors of 29862 that divides 29848 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29848 and 29862. The biggest common factor number is the GCF number.
So the greatest common factor 29848 and 29862 is 14.

Also check out the Least Common Multiple of 29848 and 29862