What is the Greatest Common Factor of 60909 and 60914?

Greatest common factor (GCF) of 60909 and 60914 is 1.

GCF(60909,60914) = 1

We will now calculate the prime factors of 60909 and 60914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60909 and 60914.

How to find the GCF of 60909 and 60914?

We will first find the prime factorization of 60909 and 60914. After we will calculate the factors of 60909 and 60914 and find the biggest common factor number .

Step-1: Prime Factorization of 60909

Prime factors of 60909 are 3, 79, 257. Prime factorization of 60909 in exponential form is:

60909 = 3¹ × 79¹ × 257¹

Step-2: Prime Factorization of 60914

Prime factors of 60914 are 2, 7, 19, 229. Prime factorization of 60914 in exponential form is:

60914 = 2¹ × 7¹ × 19¹ × 229¹

Step-3: Factors of 60909

List of positive integer factors of 60909 that divides 60909 without a remainder.

1, 3, 79, 237, 257, 771, 20303

Step-4: Factors of 60914

List of positive integer factors of 60914 that divides 60909 without a remainder.

1, 2, 7, 14, 19, 38, 133, 229, 266, 458, 1603, 3206, 4351, 8702, 30457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60909 and 60914. The biggest common factor number is the GCF number.
So the greatest common factor 60909 and 60914 is 1.

Also check out the Least Common Multiple of 60909 and 60914