What is the Greatest Common Factor of 97944 and 97956?

Greatest common factor (GCF) of 97944 and 97956 is 12.

GCF(97944,97956) = 12

We will now calculate the prime factors of 97944 and 97956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97944 and 97956.

How to find the GCF of 97944 and 97956?

We will first find the prime factorization of 97944 and 97956. After we will calculate the factors of 97944 and 97956 and find the biggest common factor number .

Step-1: Prime Factorization of 97944

Prime factors of 97944 are 2, 3, 7, 11, 53. Prime factorization of 97944 in exponential form is:

97944 = 2³ × 3¹ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 97956

Prime factors of 97956 are 2, 3, 907. Prime factorization of 97956 in exponential form is:

97956 = 2² × 3³ × 907¹

Step-3: Factors of 97944

List of positive integer factors of 97944 that divides 97944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 53, 56, 66, 77, 84, 88, 106, 132, 154, 159, 168, 212, 231, 264, 308, 318, 371, 424, 462, 583, 616, 636, 742, 924, 1113, 1166, 1272, 1484, 1749, 1848, 2226, 2332, 2968, 3498, 4081, 4452, 4664, 6996, 8162, 8904, 12243, 13992, 16324, 24486, 32648, 48972

Step-4: Factors of 97956

List of positive integer factors of 97956 that divides 97944 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 907, 1814, 2721, 3628, 5442, 8163, 10884, 16326, 24489, 32652, 48978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97944 and 97956. The biggest common factor number is the GCF number.
So the greatest common factor 97944 and 97956 is 12.

Also check out the Least Common Multiple of 97944 and 97956