What is the Greatest Common Factor of 97944 and 97958?

Greatest common factor (GCF) of 97944 and 97958 is 14.

GCF(97944,97958) = 14

We will now calculate the prime factors of 97944 and 97958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97944 and 97958.

How to find the GCF of 97944 and 97958?

We will first find the prime factorization of 97944 and 97958. After we will calculate the factors of 97944 and 97958 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 97958

Prime factors of 97958 are 2, 7, 6997. Prime factorization of 97958 in exponential form is:

97958 = 2¹ × 7¹ × 6997¹

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 97958

List of positive integer factors of 97958 that divides 97944 without a remainder.

1, 2, 7, 14, 6997, 13994, 48979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97944 and 97958. The biggest common factor number is the GCF number.
So the greatest common factor 97944 and 97958 is 14.

Also check out the Least Common Multiple of 97944 and 97958