What is the Greatest Common Factor of 97930 and 97944?

Greatest common factor (GCF) of 97930 and 97944 is 14.

GCF(97930,97944) = 14

We will now calculate the prime factors of 97930 and 97944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97930 and 97944.

How to find the GCF of 97930 and 97944?

We will first find the prime factorization of 97930 and 97944. After we will calculate the factors of 97930 and 97944 and find the biggest common factor number .

Step-1: Prime Factorization of 97930

Prime factors of 97930 are 2, 5, 7, 1399. Prime factorization of 97930 in exponential form is:

97930 = 2¹ × 5¹ × 7¹ × 1399¹

Step-2: 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-3: Factors of 97930

List of positive integer factors of 97930 that divides 97930 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1399, 2798, 6995, 9793, 13990, 19586, 48965

Step-4: Factors of 97944

List of positive integer factors of 97944 that divides 97930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97930 and 97944. The biggest common factor number is the GCF number.
So the greatest common factor 97930 and 97944 is 14.

Also check out the Least Common Multiple of 97930 and 97944