What is the Greatest Common Factor of 73956 and 73975?

Greatest common factor (GCF) of 73956 and 73975 is 1.

GCF(73956,73975) = 1

We will now calculate the prime factors of 73956 and 73975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73956 and 73975.

How to find the GCF of 73956 and 73975?

We will first find the prime factorization of 73956 and 73975. After we will calculate the factors of 73956 and 73975 and find the biggest common factor number .

Step-1: Prime Factorization of 73956

Prime factors of 73956 are 2, 3, 6163. Prime factorization of 73956 in exponential form is:

73956 = 2² × 3¹ × 6163¹

Step-2: Prime Factorization of 73975

Prime factors of 73975 are 5, 11, 269. Prime factorization of 73975 in exponential form is:

73975 = 5² × 11¹ × 269¹

Step-3: Factors of 73956

List of positive integer factors of 73956 that divides 73956 without a remainder.

1, 2, 3, 4, 6, 12, 6163, 12326, 18489, 24652, 36978

Step-4: Factors of 73975

List of positive integer factors of 73975 that divides 73956 without a remainder.

1, 5, 11, 25, 55, 269, 275, 1345, 2959, 6725, 14795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73956 and 73975. The biggest common factor number is the GCF number.
So the greatest common factor 73956 and 73975 is 1.

Also check out the Least Common Multiple of 73956 and 73975