What is the Greatest Common Factor of 78629 and 78641?

Greatest common factor (GCF) of 78629 and 78641 is 1.

GCF(78629,78641) = 1

We will now calculate the prime factors of 78629 and 78641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78629 and 78641.

How to find the GCF of 78629 and 78641?

We will first find the prime factorization of 78629 and 78641. After we will calculate the factors of 78629 and 78641 and find the biggest common factor number .

Step-1: Prime Factorization of 78629

Prime factors of 78629 are 61, 1289. Prime factorization of 78629 in exponential form is:

78629 = 61¹ × 1289¹

Step-2: Prime Factorization of 78641

Prime factors of 78641 are 19, 4139. Prime factorization of 78641 in exponential form is:

78641 = 19¹ × 4139¹

Step-3: Factors of 78629

List of positive integer factors of 78629 that divides 78629 without a remainder.

1, 61, 1289

Step-4: Factors of 78641

List of positive integer factors of 78641 that divides 78629 without a remainder.

1, 19, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78629 and 78641. The biggest common factor number is the GCF number.
So the greatest common factor 78629 and 78641 is 1.

Also check out the Least Common Multiple of 78629 and 78641