What is the Greatest Common Factor of 19725 and 19739?

Greatest common factor (GCF) of 19725 and 19739 is 1.

GCF(19725,19739) = 1

We will now calculate the prime factors of 19725 and 19739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19725 and 19739.

How to find the GCF of 19725 and 19739?

We will first find the prime factorization of 19725 and 19739. After we will calculate the factors of 19725 and 19739 and find the biggest common factor number .

Step-1: Prime Factorization of 19725

Prime factors of 19725 are 3, 5, 263. Prime factorization of 19725 in exponential form is:

19725 = 3¹ × 5² × 263¹

Step-2: Prime Factorization of 19739

Prime factors of 19739 are 19739. Prime factorization of 19739 in exponential form is:

19739 = 19739¹

Step-3: Factors of 19725

List of positive integer factors of 19725 that divides 19725 without a remainder.

1, 3, 5, 15, 25, 75, 263, 789, 1315, 3945, 6575

Step-4: Factors of 19739

List of positive integer factors of 19739 that divides 19725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19725 and 19739. The biggest common factor number is the GCF number.
So the greatest common factor 19725 and 19739 is 1.

Also check out the Least Common Multiple of 19725 and 19739