What is the Greatest Common Factor of 60929 and 60940?

Greatest common factor (GCF) of 60929 and 60940 is 11.

GCF(60929,60940) = 11

We will now calculate the prime factors of 60929 and 60940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60929 and 60940.

How to find the GCF of 60929 and 60940?

We will first find the prime factorization of 60929 and 60940. After we will calculate the factors of 60929 and 60940 and find the biggest common factor number .

Step-1: Prime Factorization of 60929

Prime factors of 60929 are 11, 29, 191. Prime factorization of 60929 in exponential form is:

60929 = 11¹ × 29¹ × 191¹

Step-2: Prime Factorization of 60940

Prime factors of 60940 are 2, 5, 11, 277. Prime factorization of 60940 in exponential form is:

60940 = 2² × 5¹ × 11¹ × 277¹

Step-3: Factors of 60929

List of positive integer factors of 60929 that divides 60929 without a remainder.

1, 11, 29, 191, 319, 2101, 5539

Step-4: Factors of 60940

List of positive integer factors of 60940 that divides 60929 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 277, 554, 1108, 1385, 2770, 3047, 5540, 6094, 12188, 15235, 30470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60929 and 60940. The biggest common factor number is the GCF number.
So the greatest common factor 60929 and 60940 is 11.

Also check out the Least Common Multiple of 60929 and 60940