What is the Greatest Common Factor of 55965 and 55974?

Greatest common factor (GCF) of 55965 and 55974 is 3.

GCF(55965,55974) = 3

We will now calculate the prime factors of 55965 and 55974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55965 and 55974.

How to find the GCF of 55965 and 55974?

We will first find the prime factorization of 55965 and 55974. After we will calculate the factors of 55965 and 55974 and find the biggest common factor number .

Step-1: Prime Factorization of 55965

Prime factors of 55965 are 3, 5, 7, 13, 41. Prime factorization of 55965 in exponential form is:

55965 = 3¹ × 5¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 55974

Prime factors of 55974 are 2, 3, 19, 491. Prime factorization of 55974 in exponential form is:

55974 = 2¹ × 3¹ × 19¹ × 491¹

Step-3: Factors of 55965

List of positive integer factors of 55965 that divides 55965 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 41, 65, 91, 105, 123, 195, 205, 273, 287, 455, 533, 615, 861, 1365, 1435, 1599, 2665, 3731, 4305, 7995, 11193, 18655

Step-4: Factors of 55974

List of positive integer factors of 55974 that divides 55965 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 491, 982, 1473, 2946, 9329, 18658, 27987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55965 and 55974. The biggest common factor number is the GCF number.
So the greatest common factor 55965 and 55974 is 3.

Also check out the Least Common Multiple of 55965 and 55974