What is the Greatest Common Factor of 74074 and 74087?

Greatest common factor (GCF) of 74074 and 74087 is 13.

GCF(74074,74087) = 13

We will now calculate the prime factors of 74074 and 74087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74074 and 74087.

How to find the GCF of 74074 and 74087?

We will first find the prime factorization of 74074 and 74087. After we will calculate the factors of 74074 and 74087 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 74087

Prime factors of 74087 are 13, 41, 139. Prime factorization of 74087 in exponential form is:

74087 = 13¹ × 41¹ × 139¹

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 74087

List of positive integer factors of 74087 that divides 74074 without a remainder.

1, 13, 41, 139, 533, 1807, 5699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74074 and 74087. The biggest common factor number is the GCF number.
So the greatest common factor 74074 and 74087 is 13.

Also check out the Least Common Multiple of 74074 and 74087