What is the Greatest Common Factor of 57945 and 57954?

Greatest common factor (GCF) of 57945 and 57954 is 3.

GCF(57945,57954) = 3

We will now calculate the prime factors of 57945 and 57954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57945 and 57954.

How to find the GCF of 57945 and 57954?

We will first find the prime factorization of 57945 and 57954. After we will calculate the factors of 57945 and 57954 and find the biggest common factor number .

Step-1: Prime Factorization of 57945

Prime factors of 57945 are 3, 5, 3863. Prime factorization of 57945 in exponential form is:

57945 = 3¹ × 5¹ × 3863¹

Step-2: Prime Factorization of 57954

Prime factors of 57954 are 2, 3, 13, 743. Prime factorization of 57954 in exponential form is:

57954 = 2¹ × 3¹ × 13¹ × 743¹

Step-3: Factors of 57945

List of positive integer factors of 57945 that divides 57945 without a remainder.

1, 3, 5, 15, 3863, 11589, 19315

Step-4: Factors of 57954

List of positive integer factors of 57954 that divides 57945 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 743, 1486, 2229, 4458, 9659, 19318, 28977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57945 and 57954. The biggest common factor number is the GCF number.
So the greatest common factor 57945 and 57954 is 3.

Also check out the Least Common Multiple of 57945 and 57954