What is the Greatest Common Factor of 78685 and 78702?

Greatest common factor (GCF) of 78685 and 78702 is 1.

GCF(78685,78702) = 1

We will now calculate the prime factors of 78685 and 78702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78685 and 78702.

How to find the GCF of 78685 and 78702?

We will first find the prime factorization of 78685 and 78702. After we will calculate the factors of 78685 and 78702 and find the biggest common factor number .

Step-1: Prime Factorization of 78685

Prime factors of 78685 are 5, 15737. Prime factorization of 78685 in exponential form is:

78685 = 5¹ × 15737¹

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 78685

List of positive integer factors of 78685 that divides 78685 without a remainder.

1, 5, 15737

Step-4: Factors of 78702

List of positive integer factors of 78702 that divides 78685 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 78685 and 78702. The biggest common factor number is the GCF number.
So the greatest common factor 78685 and 78702 is 1.

Also check out the Least Common Multiple of 78685 and 78702