What is the Greatest Common Factor of 74074 and 74086?

Greatest common factor (GCF) of 74074 and 74086 is 2.

GCF(74074,74086) = 2

We will now calculate the prime factors of 74074 and 74086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74074 and 74086.

How to find the GCF of 74074 and 74086?

We will first find the prime factorization of 74074 and 74086. After we will calculate the factors of 74074 and 74086 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 74086

Prime factors of 74086 are 2, 17, 2179. Prime factorization of 74086 in exponential form is:

74086 = 2¹ × 17¹ × 2179¹

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 74086

List of positive integer factors of 74086 that divides 74074 without a remainder.

1, 2, 17, 34, 2179, 4358, 37043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74074 and 74086. The biggest common factor number is the GCF number.
So the greatest common factor 74074 and 74086 is 2.

Also check out the Least Common Multiple of 74074 and 74086