What is the Greatest Common Factor of 60609 and 60629?

Greatest common factor (GCF) of 60609 and 60629 is 1.

GCF(60609,60629) = 1

We will now calculate the prime factors of 60609 and 60629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60609 and 60629.

How to find the GCF of 60609 and 60629?

We will first find the prime factorization of 60609 and 60629. After we will calculate the factors of 60609 and 60629 and find the biggest common factor number .

Step-1: Prime Factorization of 60609

Prime factors of 60609 are 3, 89, 227. Prime factorization of 60609 in exponential form is:

60609 = 3¹ × 89¹ × 227¹

Step-2: Prime Factorization of 60629

Prime factors of 60629 are 19, 3191. Prime factorization of 60629 in exponential form is:

60629 = 19¹ × 3191¹

Step-3: Factors of 60609

List of positive integer factors of 60609 that divides 60609 without a remainder.

1, 3, 89, 227, 267, 681, 20203

Step-4: Factors of 60629

List of positive integer factors of 60629 that divides 60609 without a remainder.

1, 19, 3191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60609 and 60629. The biggest common factor number is the GCF number.
So the greatest common factor 60609 and 60629 is 1.

Also check out the Least Common Multiple of 60609 and 60629