What is the Greatest Common Factor of 74087 and 74094?

Greatest common factor (GCF) of 74087 and 74094 is 1.

GCF(74087,74094) = 1

We will now calculate the prime factors of 74087 and 74094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74087 and 74094.

How to find the GCF of 74087 and 74094?

We will first find the prime factorization of 74087 and 74094. After we will calculate the factors of 74087 and 74094 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74094

Prime factors of 74094 are 2, 3, 53, 233. Prime factorization of 74094 in exponential form is:

74094 = 2¹ × 3¹ × 53¹ × 233¹

Step-3: Factors of 74087

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

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

Step-4: Factors of 74094

List of positive integer factors of 74094 that divides 74087 without a remainder.

1, 2, 3, 6, 53, 106, 159, 233, 318, 466, 699, 1398, 12349, 24698, 37047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74087 and 74094. The biggest common factor number is the GCF number.
So the greatest common factor 74087 and 74094 is 1.

Also check out the Least Common Multiple of 74087 and 74094