What is the Greatest Common Factor of 74074 and 74078?

Greatest common factor (GCF) of 74074 and 74078 is 2.

GCF(74074,74078) = 2

We will now calculate the prime factors of 74074 and 74078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74074 and 74078.

How to find the GCF of 74074 and 74078?

We will first find the prime factorization of 74074 and 74078. After we will calculate the factors of 74074 and 74078 and find the biggest common factor number .

Step-1: Prime Factorization of 74074

Prime factors of 74074 are 2, 7, 11, 13, 37. Prime factorization of 74074 in exponential form is:

74074 = 2¹ × 7¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 74078

Prime factors of 74078 are 2, 37039. Prime factorization of 74078 in exponential form is:

74078 = 2¹ × 37039¹

Step-3: Factors of 74074

List of positive integer factors of 74074 that divides 74074 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 37, 74, 77, 91, 143, 154, 182, 259, 286, 407, 481, 518, 814, 962, 1001, 2002, 2849, 3367, 5291, 5698, 6734, 10582, 37037

Step-4: Factors of 74078

List of positive integer factors of 74078 that divides 74074 without a remainder.

1, 2, 37039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74074 and 74078. The biggest common factor number is the GCF number.
So the greatest common factor 74074 and 74078 is 2.

Also check out the Least Common Multiple of 74074 and 74078