What is the Greatest Common Factor of 29678 and 29698?

Greatest common factor (GCF) of 29678 and 29698 is 2.

GCF(29678,29698) = 2

We will now calculate the prime factors of 29678 and 29698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29678 and 29698.

How to find the GCF of 29678 and 29698?

We will first find the prime factorization of 29678 and 29698. After we will calculate the factors of 29678 and 29698 and find the biggest common factor number .

Step-1: Prime Factorization of 29678

Prime factors of 29678 are 2, 11, 19, 71. Prime factorization of 29678 in exponential form is:

29678 = 2¹ × 11¹ × 19¹ × 71¹

Step-2: Prime Factorization of 29698

Prime factors of 29698 are 2, 31, 479. Prime factorization of 29698 in exponential form is:

29698 = 2¹ × 31¹ × 479¹

Step-3: Factors of 29678

List of positive integer factors of 29678 that divides 29678 without a remainder.

1, 2, 11, 19, 22, 38, 71, 142, 209, 418, 781, 1349, 1562, 2698, 14839

Step-4: Factors of 29698

List of positive integer factors of 29698 that divides 29678 without a remainder.

1, 2, 31, 62, 479, 958, 14849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29678 and 29698. The biggest common factor number is the GCF number.
So the greatest common factor 29678 and 29698 is 2.

Also check out the Least Common Multiple of 29678 and 29698