What is the Greatest Common Factor of 68940 and 68949?

Greatest common factor (GCF) of 68940 and 68949 is 9.

GCF(68940,68949) = 9

We will now calculate the prime factors of 68940 and 68949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68940 and 68949.

How to find the GCF of 68940 and 68949?

We will first find the prime factorization of 68940 and 68949. After we will calculate the factors of 68940 and 68949 and find the biggest common factor number .

Step-1: Prime Factorization of 68940

Prime factors of 68940 are 2, 3, 5, 383. Prime factorization of 68940 in exponential form is:

68940 = 2² × 3² × 5¹ × 383¹

Step-2: Prime Factorization of 68949

Prime factors of 68949 are 3, 47, 163. Prime factorization of 68949 in exponential form is:

68949 = 3² × 47¹ × 163¹

Step-3: Factors of 68940

List of positive integer factors of 68940 that divides 68940 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 383, 766, 1149, 1532, 1915, 2298, 3447, 3830, 4596, 5745, 6894, 7660, 11490, 13788, 17235, 22980, 34470

Step-4: Factors of 68949

List of positive integer factors of 68949 that divides 68940 without a remainder.

1, 3, 9, 47, 141, 163, 423, 489, 1467, 7661, 22983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68940 and 68949. The biggest common factor number is the GCF number.
So the greatest common factor 68940 and 68949 is 9.

Also check out the Least Common Multiple of 68940 and 68949