What is the Greatest Common Factor of 75966 and 75972?

Greatest common factor (GCF) of 75966 and 75972 is 6.

GCF(75966,75972) = 6

We will now calculate the prime factors of 75966 and 75972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75966 and 75972.

How to find the GCF of 75966 and 75972?

We will first find the prime factorization of 75966 and 75972. After we will calculate the factors of 75966 and 75972 and find the biggest common factor number .

Step-1: Prime Factorization of 75966

Prime factors of 75966 are 2, 3, 11, 1151. Prime factorization of 75966 in exponential form is:

75966 = 2¹ × 3¹ × 11¹ × 1151¹

Step-2: Prime Factorization of 75972

Prime factors of 75972 are 2, 3, 13, 487. Prime factorization of 75972 in exponential form is:

75972 = 2² × 3¹ × 13¹ × 487¹

Step-3: Factors of 75966

List of positive integer factors of 75966 that divides 75966 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1151, 2302, 3453, 6906, 12661, 25322, 37983

Step-4: Factors of 75972

List of positive integer factors of 75972 that divides 75966 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 487, 974, 1461, 1948, 2922, 5844, 6331, 12662, 18993, 25324, 37986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75966 and 75972. The biggest common factor number is the GCF number.
So the greatest common factor 75966 and 75972 is 6.

Also check out the Least Common Multiple of 75966 and 75972