What is the Greatest Common Factor of 97944 and 97964?

Greatest common factor (GCF) of 97944 and 97964 is 4.

GCF(97944,97964) = 4

We will now calculate the prime factors of 97944 and 97964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97944 and 97964.

How to find the GCF of 97944 and 97964?

We will first find the prime factorization of 97944 and 97964. After we will calculate the factors of 97944 and 97964 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 97964

Prime factors of 97964 are 2, 19, 1289. Prime factorization of 97964 in exponential form is:

97964 = 2² × 19¹ × 1289¹

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 97964

List of positive integer factors of 97964 that divides 97944 without a remainder.

1, 2, 4, 19, 38, 76, 1289, 2578, 5156, 24491, 48982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97944 and 97964. The biggest common factor number is the GCF number.
So the greatest common factor 97944 and 97964 is 4.

Also check out the Least Common Multiple of 97944 and 97964