What is the Greatest Common Factor of 10686 and 10702?

Greatest common factor (GCF) of 10686 and 10702 is 2.

GCF(10686,10702) = 2

We will now calculate the prime factors of 10686 and 10702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10686 and 10702.

How to find the GCF of 10686 and 10702?

We will first find the prime factorization of 10686 and 10702. After we will calculate the factors of 10686 and 10702 and find the biggest common factor number .

Step-1: Prime Factorization of 10686

Prime factors of 10686 are 2, 3, 13, 137. Prime factorization of 10686 in exponential form is:

10686 = 2¹ × 3¹ × 13¹ × 137¹

Step-2: Prime Factorization of 10702

Prime factors of 10702 are 2, 5351. Prime factorization of 10702 in exponential form is:

10702 = 2¹ × 5351¹

Step-3: Factors of 10686

List of positive integer factors of 10686 that divides 10686 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 137, 274, 411, 822, 1781, 3562, 5343

Step-4: Factors of 10702

List of positive integer factors of 10702 that divides 10686 without a remainder.

1, 2, 5351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10686 and 10702. The biggest common factor number is the GCF number.
So the greatest common factor 10686 and 10702 is 2.

Also check out the Least Common Multiple of 10686 and 10702