What is the Greatest Common Factor of 88410 and 88424?

Greatest common factor (GCF) of 88410 and 88424 is 14.

GCF(88410,88424) = 14

We will now calculate the prime factors of 88410 and 88424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88410 and 88424.

How to find the GCF of 88410 and 88424?

We will first find the prime factorization of 88410 and 88424. After we will calculate the factors of 88410 and 88424 and find the biggest common factor number .

Step-1: Prime Factorization of 88410

Prime factors of 88410 are 2, 3, 5, 7, 421. Prime factorization of 88410 in exponential form is:

88410 = 2¹ × 3¹ × 5¹ × 7¹ × 421¹

Step-2: Prime Factorization of 88424

Prime factors of 88424 are 2, 7, 1579. Prime factorization of 88424 in exponential form is:

88424 = 2³ × 7¹ × 1579¹

Step-3: Factors of 88410

List of positive integer factors of 88410 that divides 88410 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 421, 842, 1263, 2105, 2526, 2947, 4210, 5894, 6315, 8841, 12630, 14735, 17682, 29470, 44205

Step-4: Factors of 88424

List of positive integer factors of 88424 that divides 88410 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1579, 3158, 6316, 11053, 12632, 22106, 44212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88410 and 88424. The biggest common factor number is the GCF number.
So the greatest common factor 88410 and 88424 is 14.

Also check out the Least Common Multiple of 88410 and 88424