What is the Greatest Common Factor of 29862 and 29876?

Greatest common factor (GCF) of 29862 and 29876 is 14.

GCF(29862,29876) = 14

We will now calculate the prime factors of 29862 and 29876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29862 and 29876.

How to find the GCF of 29862 and 29876?

We will first find the prime factorization of 29862 and 29876. After we will calculate the factors of 29862 and 29876 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 29876

Prime factors of 29876 are 2, 7, 11, 97. Prime factorization of 29876 in exponential form is:

29876 = 2² × 7¹ × 11¹ × 97¹

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 29876

List of positive integer factors of 29876 that divides 29862 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 97, 154, 194, 308, 388, 679, 1067, 1358, 2134, 2716, 4268, 7469, 14938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29862 and 29876. The biggest common factor number is the GCF number.
So the greatest common factor 29862 and 29876 is 14.

Also check out the Least Common Multiple of 29862 and 29876