What is the Greatest Common Factor of 75078 and 75092?

Greatest common factor (GCF) of 75078 and 75092 is 2.

GCF(75078,75092) = 2

We will now calculate the prime factors of 75078 and 75092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75078 and 75092.

How to find the GCF of 75078 and 75092?

We will first find the prime factorization of 75078 and 75092. After we will calculate the factors of 75078 and 75092 and find the biggest common factor number .

Step-1: Prime Factorization of 75078

Prime factors of 75078 are 2, 3, 43, 97. Prime factorization of 75078 in exponential form is:

75078 = 2¹ × 3² × 43¹ × 97¹

Step-2: Prime Factorization of 75092

Prime factors of 75092 are 2, 18773. Prime factorization of 75092 in exponential form is:

75092 = 2² × 18773¹

Step-3: Factors of 75078

List of positive integer factors of 75078 that divides 75078 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 97, 129, 194, 258, 291, 387, 582, 774, 873, 1746, 4171, 8342, 12513, 25026, 37539

Step-4: Factors of 75092

List of positive integer factors of 75092 that divides 75078 without a remainder.

1, 2, 4, 18773, 37546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75078 and 75092. The biggest common factor number is the GCF number.
So the greatest common factor 75078 and 75092 is 2.

Also check out the Least Common Multiple of 75078 and 75092