What is the Greatest Common Factor of 74431 and 74451?

Greatest common factor (GCF) of 74431 and 74451 is 1.

GCF(74431,74451) = 1

We will now calculate the prime factors of 74431 and 74451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74431 and 74451.

How to find the GCF of 74431 and 74451?

We will first find the prime factorization of 74431 and 74451. After we will calculate the factors of 74431 and 74451 and find the biggest common factor number .

Step-1: Prime Factorization of 74431

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

74431 = 7⁴ × 31¹

Step-2: Prime Factorization of 74451

Prime factors of 74451 are 3, 13, 23, 83. Prime factorization of 74451 in exponential form is:

74451 = 3¹ × 13¹ × 23¹ × 83¹

Step-3: Factors of 74431

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

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

Step-4: Factors of 74451

List of positive integer factors of 74451 that divides 74431 without a remainder.

1, 3, 13, 23, 39, 69, 83, 249, 299, 897, 1079, 1909, 3237, 5727, 24817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74431 and 74451. The biggest common factor number is the GCF number.
So the greatest common factor 74431 and 74451 is 1.

Also check out the Least Common Multiple of 74431 and 74451