What is the Greatest Common Factor of 78688 and 78702?

Greatest common factor (GCF) of 78688 and 78702 is 2.

GCF(78688,78702) = 2

We will now calculate the prime factors of 78688 and 78702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78688 and 78702.

How to find the GCF of 78688 and 78702?

We will first find the prime factorization of 78688 and 78702. After we will calculate the factors of 78688 and 78702 and find the biggest common factor number .

Step-1: Prime Factorization of 78688

Prime factors of 78688 are 2, 2459. Prime factorization of 78688 in exponential form is:

78688 = 2⁵ × 2459¹

Step-2: Prime Factorization of 78702

Prime factors of 78702 are 2, 3, 13, 1009. Prime factorization of 78702 in exponential form is:

78702 = 2¹ × 3¹ × 13¹ × 1009¹

Step-3: Factors of 78688

List of positive integer factors of 78688 that divides 78688 without a remainder.

1, 2, 4, 8, 16, 32, 2459, 4918, 9836, 19672, 39344

Step-4: Factors of 78702

List of positive integer factors of 78702 that divides 78688 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1009, 2018, 3027, 6054, 13117, 26234, 39351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78688 and 78702. The biggest common factor number is the GCF number.
So the greatest common factor 78688 and 78702 is 2.

Also check out the Least Common Multiple of 78688 and 78702