What is the Greatest Common Factor of 75956 and 75973?

Greatest common factor (GCF) of 75956 and 75973 is 17.

GCF(75956,75973) = 17

We will now calculate the prime factors of 75956 and 75973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75956 and 75973.

How to find the GCF of 75956 and 75973?

We will first find the prime factorization of 75956 and 75973. After we will calculate the factors of 75956 and 75973 and find the biggest common factor number .

Step-1: Prime Factorization of 75956

Prime factors of 75956 are 2, 17, 1117. Prime factorization of 75956 in exponential form is:

75956 = 2² × 17¹ × 1117¹

Step-2: Prime Factorization of 75973

Prime factors of 75973 are 17, 41, 109. Prime factorization of 75973 in exponential form is:

75973 = 17¹ × 41¹ × 109¹

Step-3: Factors of 75956

List of positive integer factors of 75956 that divides 75956 without a remainder.

1, 2, 4, 17, 34, 68, 1117, 2234, 4468, 18989, 37978

Step-4: Factors of 75973

List of positive integer factors of 75973 that divides 75956 without a remainder.

1, 17, 41, 109, 697, 1853, 4469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75956 and 75973. The biggest common factor number is the GCF number.
So the greatest common factor 75956 and 75973 is 17.

Also check out the Least Common Multiple of 75956 and 75973