What is the Greatest Common Factor of 29678 and 29685?

Greatest common factor (GCF) of 29678 and 29685 is 1.

GCF(29678,29685) = 1

We will now calculate the prime factors of 29678 and 29685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29678 and 29685.

How to find the GCF of 29678 and 29685?

We will first find the prime factorization of 29678 and 29685. After we will calculate the factors of 29678 and 29685 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 29685

Prime factors of 29685 are 3, 5, 1979. Prime factorization of 29685 in exponential form is:

29685 = 3¹ × 5¹ × 1979¹

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 29685

List of positive integer factors of 29685 that divides 29678 without a remainder.

1, 3, 5, 15, 1979, 5937, 9895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29678 and 29685. The biggest common factor number is the GCF number.
So the greatest common factor 29678 and 29685 is 1.

Also check out the Least Common Multiple of 29678 and 29685