What is the Greatest Common Factor of 29685 and 29695?

Greatest common factor (GCF) of 29685 and 29695 is 5.

GCF(29685,29695) = 5

We will now calculate the prime factors of 29685 and 29695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29685 and 29695.

How to find the GCF of 29685 and 29695?

We will first find the prime factorization of 29685 and 29695. After we will calculate the factors of 29685 and 29695 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29695

Prime factors of 29695 are 5, 5939. Prime factorization of 29695 in exponential form is:

29695 = 5¹ × 5939¹

Step-3: Factors of 29685

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

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

Step-4: Factors of 29695

List of positive integer factors of 29695 that divides 29685 without a remainder.

1, 5, 5939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29685 and 29695. The biggest common factor number is the GCF number.
So the greatest common factor 29685 and 29695 is 5.

Also check out the Least Common Multiple of 29685 and 29695