What is the Greatest Common Factor of 74057 and 74074?

Greatest common factor (GCF) of 74057 and 74074 is 1.

GCF(74057,74074) = 1

We will now calculate the prime factors of 74057 and 74074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74057 and 74074.

How to find the GCF of 74057 and 74074?

We will first find the prime factorization of 74057 and 74074. After we will calculate the factors of 74057 and 74074 and find the biggest common factor number .

Step-1: Prime Factorization of 74057

Prime factors of 74057 are 103, 719. Prime factorization of 74057 in exponential form is:

74057 = 103¹ × 719¹

Step-2: 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-3: Factors of 74057

List of positive integer factors of 74057 that divides 74057 without a remainder.

1, 103, 719

Step-4: Factors of 74074

List of positive integer factors of 74074 that divides 74057 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74057 and 74074. The biggest common factor number is the GCF number.
So the greatest common factor 74057 and 74074 is 1.

Also check out the Least Common Multiple of 74057 and 74074