What is the Greatest Common Factor of 78690 and 78701?

Greatest common factor (GCF) of 78690 and 78701 is 1.

GCF(78690,78701) = 1

We will now calculate the prime factors of 78690 and 78701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78690 and 78701.

How to find the GCF of 78690 and 78701?

We will first find the prime factorization of 78690 and 78701. After we will calculate the factors of 78690 and 78701 and find the biggest common factor number .

Step-1: Prime Factorization of 78690

Prime factors of 78690 are 2, 3, 5, 43, 61. Prime factorization of 78690 in exponential form is:

78690 = 2¹ × 3¹ × 5¹ × 43¹ × 61¹

Step-2: Prime Factorization of 78701

Prime factors of 78701 are 7, 11243. Prime factorization of 78701 in exponential form is:

78701 = 7¹ × 11243¹

Step-3: Factors of 78690

List of positive integer factors of 78690 that divides 78690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 61, 86, 122, 129, 183, 215, 258, 305, 366, 430, 610, 645, 915, 1290, 1830, 2623, 5246, 7869, 13115, 15738, 26230, 39345

Step-4: Factors of 78701

List of positive integer factors of 78701 that divides 78690 without a remainder.

1, 7, 11243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78690 and 78701. The biggest common factor number is the GCF number.
So the greatest common factor 78690 and 78701 is 1.

Also check out the Least Common Multiple of 78690 and 78701