What is the Greatest Common Factor of 19695 and 19700?

Greatest common factor (GCF) of 19695 and 19700 is 5.

GCF(19695,19700) = 5

We will now calculate the prime factors of 19695 and 19700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19695 and 19700.

How to find the GCF of 19695 and 19700?

We will first find the prime factorization of 19695 and 19700. After we will calculate the factors of 19695 and 19700 and find the biggest common factor number .

Step-1: Prime Factorization of 19695

Prime factors of 19695 are 3, 5, 13, 101. Prime factorization of 19695 in exponential form is:

19695 = 3¹ × 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 19700

Prime factors of 19700 are 2, 5, 197. Prime factorization of 19700 in exponential form is:

19700 = 2² × 5² × 197¹

Step-3: Factors of 19695

List of positive integer factors of 19695 that divides 19695 without a remainder.

1, 3, 5, 13, 15, 39, 65, 101, 195, 303, 505, 1313, 1515, 3939, 6565

Step-4: Factors of 19700

List of positive integer factors of 19700 that divides 19695 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 197, 394, 788, 985, 1970, 3940, 4925, 9850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19695 and 19700. The biggest common factor number is the GCF number.
So the greatest common factor 19695 and 19700 is 5.

Also check out the Least Common Multiple of 19695 and 19700