What is the Greatest Common Factor of 93929 and 93940?

Greatest common factor (GCF) of 93929 and 93940 is 11.

GCF(93929,93940) = 11

We will now calculate the prime factors of 93929 and 93940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93929 and 93940.

How to find the GCF of 93929 and 93940?

We will first find the prime factorization of 93929 and 93940. After we will calculate the factors of 93929 and 93940 and find the biggest common factor number .

Step-1: Prime Factorization of 93929

Prime factors of 93929 are 11, 8539. Prime factorization of 93929 in exponential form is:

93929 = 11¹ × 8539¹

Step-2: Prime Factorization of 93940

Prime factors of 93940 are 2, 5, 7, 11, 61. Prime factorization of 93940 in exponential form is:

93940 = 2² × 5¹ × 7¹ × 11¹ × 61¹

Step-3: Factors of 93929

List of positive integer factors of 93929 that divides 93929 without a remainder.

1, 11, 8539

Step-4: Factors of 93940

List of positive integer factors of 93940 that divides 93929 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 61, 70, 77, 110, 122, 140, 154, 220, 244, 305, 308, 385, 427, 610, 671, 770, 854, 1220, 1342, 1540, 1708, 2135, 2684, 3355, 4270, 4697, 6710, 8540, 9394, 13420, 18788, 23485, 46970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93929 and 93940. The biggest common factor number is the GCF number.
So the greatest common factor 93929 and 93940 is 11.

Also check out the Least Common Multiple of 93929 and 93940