What is the Greatest Common Factor of 96945 and 96954?

Greatest common factor (GCF) of 96945 and 96954 is 3.

GCF(96945,96954) = 3

We will now calculate the prime factors of 96945 and 96954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96945 and 96954.

How to find the GCF of 96945 and 96954?

We will first find the prime factorization of 96945 and 96954. After we will calculate the factors of 96945 and 96954 and find the biggest common factor number .

Step-1: Prime Factorization of 96945

Prime factors of 96945 are 3, 5, 23, 281. Prime factorization of 96945 in exponential form is:

96945 = 3¹ × 5¹ × 23¹ × 281¹

Step-2: Prime Factorization of 96954

Prime factors of 96954 are 2, 3, 11, 13, 113. Prime factorization of 96954 in exponential form is:

96954 = 2¹ × 3¹ × 11¹ × 13¹ × 113¹

Step-3: Factors of 96945

List of positive integer factors of 96945 that divides 96945 without a remainder.

1, 3, 5, 15, 23, 69, 115, 281, 345, 843, 1405, 4215, 6463, 19389, 32315

Step-4: Factors of 96954

List of positive integer factors of 96954 that divides 96945 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 113, 143, 226, 286, 339, 429, 678, 858, 1243, 1469, 2486, 2938, 3729, 4407, 7458, 8814, 16159, 32318, 48477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96945 and 96954. The biggest common factor number is the GCF number.
So the greatest common factor 96945 and 96954 is 3.

Also check out the Least Common Multiple of 96945 and 96954