What is the Greatest Common Factor of 88434 and 88451?

Greatest common factor (GCF) of 88434 and 88451 is 17.

GCF(88434,88451) = 17

We will now calculate the prime factors of 88434 and 88451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88434 and 88451.

How to find the GCF of 88434 and 88451?

We will first find the prime factorization of 88434 and 88451. After we will calculate the factors of 88434 and 88451 and find the biggest common factor number .

Step-1: Prime Factorization of 88434

Prime factors of 88434 are 2, 3, 17. Prime factorization of 88434 in exponential form is:

88434 = 2¹ × 3² × 17³

Step-2: Prime Factorization of 88451

Prime factors of 88451 are 11, 17, 43. Prime factorization of 88451 in exponential form is:

88451 = 11² × 17¹ × 43¹

Step-3: Factors of 88434

List of positive integer factors of 88434 that divides 88434 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 4913, 5202, 9826, 14739, 29478, 44217

Step-4: Factors of 88451

List of positive integer factors of 88451 that divides 88434 without a remainder.

1, 11, 17, 43, 121, 187, 473, 731, 2057, 5203, 8041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88434 and 88451. The biggest common factor number is the GCF number.
So the greatest common factor 88434 and 88451 is 17.

Also check out the Least Common Multiple of 88434 and 88451