What is the Greatest Common Factor of 97944 and 97952?

Greatest common factor (GCF) of 97944 and 97952 is 8.

GCF(97944,97952) = 8

We will now calculate the prime factors of 97944 and 97952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97944 and 97952.

How to find the GCF of 97944 and 97952?

We will first find the prime factorization of 97944 and 97952. After we will calculate the factors of 97944 and 97952 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 97952

Prime factors of 97952 are 2, 3061. Prime factorization of 97952 in exponential form is:

97952 = 2⁵ × 3061¹

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 97952

List of positive integer factors of 97952 that divides 97944 without a remainder.

1, 2, 4, 8, 16, 32, 3061, 6122, 12244, 24488, 48976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97944 and 97952. The biggest common factor number is the GCF number.
So the greatest common factor 97944 and 97952 is 8.

Also check out the Least Common Multiple of 97944 and 97952