What is the Greatest Common Factor of 20696 and 20702?

Greatest common factor (GCF) of 20696 and 20702 is 2.

GCF(20696,20702) = 2

We will now calculate the prime factors of 20696 and 20702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20696 and 20702.

How to find the GCF of 20696 and 20702?

We will first find the prime factorization of 20696 and 20702. After we will calculate the factors of 20696 and 20702 and find the biggest common factor number .

Step-1: Prime Factorization of 20696

Prime factors of 20696 are 2, 13, 199. Prime factorization of 20696 in exponential form is:

20696 = 2³ × 13¹ × 199¹

Step-2: Prime Factorization of 20702

Prime factors of 20702 are 2, 11, 941. Prime factorization of 20702 in exponential form is:

20702 = 2¹ × 11¹ × 941¹

Step-3: Factors of 20696

List of positive integer factors of 20696 that divides 20696 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 199, 398, 796, 1592, 2587, 5174, 10348

Step-4: Factors of 20702

List of positive integer factors of 20702 that divides 20696 without a remainder.

1, 2, 11, 22, 941, 1882, 10351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20696 and 20702. The biggest common factor number is the GCF number.
So the greatest common factor 20696 and 20702 is 2.

Also check out the Least Common Multiple of 20696 and 20702