What is the Greatest Common Factor of 29854 and 29862?

Greatest common factor (GCF) of 29854 and 29862 is 2.

GCF(29854,29862) = 2

We will now calculate the prime factors of 29854 and 29862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29854 and 29862.

How to find the GCF of 29854 and 29862?

We will first find the prime factorization of 29854 and 29862. After we will calculate the factors of 29854 and 29862 and find the biggest common factor number .

Step-1: Prime Factorization of 29854

Prime factors of 29854 are 2, 11, 23, 59. Prime factorization of 29854 in exponential form is:

29854 = 2¹ × 11¹ × 23¹ × 59¹

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 29854

List of positive integer factors of 29854 that divides 29854 without a remainder.

1, 2, 11, 22, 23, 46, 59, 118, 253, 506, 649, 1298, 1357, 2714, 14927

Step-4: Factors of 29862

List of positive integer factors of 29862 that divides 29854 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 29854 and 29862. The biggest common factor number is the GCF number.
So the greatest common factor 29854 and 29862 is 2.

Also check out the Least Common Multiple of 29854 and 29862