What is the Greatest Common Factor of 19702 and 19708?

Greatest common factor (GCF) of 19702 and 19708 is 2.

GCF(19702,19708) = 2

We will now calculate the prime factors of 19702 and 19708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19702 and 19708.

How to find the GCF of 19702 and 19708?

We will first find the prime factorization of 19702 and 19708. After we will calculate the factors of 19702 and 19708 and find the biggest common factor number .

Step-1: Prime Factorization of 19702

Prime factors of 19702 are 2, 9851. Prime factorization of 19702 in exponential form is:

19702 = 2¹ × 9851¹

Step-2: Prime Factorization of 19708

Prime factors of 19708 are 2, 13, 379. Prime factorization of 19708 in exponential form is:

19708 = 2² × 13¹ × 379¹

Step-3: Factors of 19702

List of positive integer factors of 19702 that divides 19702 without a remainder.

1, 2, 9851

Step-4: Factors of 19708

List of positive integer factors of 19708 that divides 19702 without a remainder.

1, 2, 4, 13, 26, 52, 379, 758, 1516, 4927, 9854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19702 and 19708. The biggest common factor number is the GCF number.
So the greatest common factor 19702 and 19708 is 2.

Also check out the Least Common Multiple of 19702 and 19708