What is the Greatest Common Factor of 68940 and 68952?

Greatest common factor (GCF) of 68940 and 68952 is 12.

GCF(68940,68952) = 12

We will now calculate the prime factors of 68940 and 68952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68940 and 68952.

How to find the GCF of 68940 and 68952?

We will first find the prime factorization of 68940 and 68952. After we will calculate the factors of 68940 and 68952 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 68952

Prime factors of 68952 are 2, 3, 13, 17. Prime factorization of 68952 in exponential form is:

68952 = 2³ × 3¹ × 13² × 17¹

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 68952

List of positive integer factors of 68952 that divides 68940 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 169, 204, 221, 312, 338, 408, 442, 507, 663, 676, 884, 1014, 1326, 1352, 1768, 2028, 2652, 2873, 4056, 5304, 5746, 8619, 11492, 17238, 22984, 34476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68940 and 68952. The biggest common factor number is the GCF number.
So the greatest common factor 68940 and 68952 is 12.

Also check out the Least Common Multiple of 68940 and 68952