What is the Greatest Common Factor of 74426 and 74431?

Greatest common factor (GCF) of 74426 and 74431 is 1.

GCF(74426,74431) = 1

We will now calculate the prime factors of 74426 and 74431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74426 and 74431.

How to find the GCF of 74426 and 74431?

We will first find the prime factorization of 74426 and 74431. After we will calculate the factors of 74426 and 74431 and find the biggest common factor number .

Step-1: Prime Factorization of 74426

Prime factors of 74426 are 2, 11, 17, 199. Prime factorization of 74426 in exponential form is:

74426 = 2¹ × 11¹ × 17¹ × 199¹

Step-2: Prime Factorization of 74431

Prime factors of 74431 are 7, 31. Prime factorization of 74431 in exponential form is:

74431 = 7⁴ × 31¹

Step-3: Factors of 74426

List of positive integer factors of 74426 that divides 74426 without a remainder.

1, 2, 11, 17, 22, 34, 187, 199, 374, 398, 2189, 3383, 4378, 6766, 37213

Step-4: Factors of 74431

List of positive integer factors of 74431 that divides 74426 without a remainder.

1, 7, 31, 49, 217, 343, 1519, 2401, 10633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74426 and 74431. The biggest common factor number is the GCF number.
So the greatest common factor 74426 and 74431 is 1.

Also check out the Least Common Multiple of 74426 and 74431