What is the Greatest Common Factor of 19702 and 19722?

Greatest common factor (GCF) of 19702 and 19722 is 2.

GCF(19702,19722) = 2

We will now calculate the prime factors of 19702 and 19722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19702 and 19722.

How to find the GCF of 19702 and 19722?

We will first find the prime factorization of 19702 and 19722. After we will calculate the factors of 19702 and 19722 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 19722

Prime factors of 19722 are 2, 3, 19, 173. Prime factorization of 19722 in exponential form is:

19722 = 2¹ × 3¹ × 19¹ × 173¹

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 19722

List of positive integer factors of 19722 that divides 19702 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 173, 346, 519, 1038, 3287, 6574, 9861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19702 and 19722. The biggest common factor number is the GCF number.
So the greatest common factor 19702 and 19722 is 2.

Also check out the Least Common Multiple of 19702 and 19722