What is the Greatest Common Factor of 78529 and 78545?

Greatest common factor (GCF) of 78529 and 78545 is 1.

GCF(78529,78545) = 1

We will now calculate the prime factors of 78529 and 78545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78529 and 78545.

How to find the GCF of 78529 and 78545?

We will first find the prime factorization of 78529 and 78545. After we will calculate the factors of 78529 and 78545 and find the biggest common factor number .

Step-1: Prime Factorization of 78529

Prime factors of 78529 are 11, 59. Prime factorization of 78529 in exponential form is:

78529 = 11³ × 59¹

Step-2: Prime Factorization of 78545

Prime factors of 78545 are 5, 23, 683. Prime factorization of 78545 in exponential form is:

78545 = 5¹ × 23¹ × 683¹

Step-3: Factors of 78529

List of positive integer factors of 78529 that divides 78529 without a remainder.

1, 11, 59, 121, 649, 1331, 7139

Step-4: Factors of 78545

List of positive integer factors of 78545 that divides 78529 without a remainder.

1, 5, 23, 115, 683, 3415, 15709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78529 and 78545. The biggest common factor number is the GCF number.
So the greatest common factor 78529 and 78545 is 1.

Also check out the Least Common Multiple of 78529 and 78545