What is the Greatest Common Factor of 88419 and 88431?

Greatest common factor (GCF) of 88419 and 88431 is 3.

GCF(88419,88431) = 3

We will now calculate the prime factors of 88419 and 88431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88419 and 88431.

How to find the GCF of 88419 and 88431?

We will first find the prime factorization of 88419 and 88431. After we will calculate the factors of 88419 and 88431 and find the biggest common factor number .

Step-1: Prime Factorization of 88419

Prime factors of 88419 are 3, 29473. Prime factorization of 88419 in exponential form is:

88419 = 3¹ × 29473¹

Step-2: Prime Factorization of 88431

Prime factors of 88431 are 3, 7, 4211. Prime factorization of 88431 in exponential form is:

88431 = 3¹ × 7¹ × 4211¹

Step-3: Factors of 88419

List of positive integer factors of 88419 that divides 88419 without a remainder.

1, 3, 29473

Step-4: Factors of 88431

List of positive integer factors of 88431 that divides 88419 without a remainder.

1, 3, 7, 21, 4211, 12633, 29477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88419 and 88431. The biggest common factor number is the GCF number.
So the greatest common factor 88419 and 88431 is 3.

Also check out the Least Common Multiple of 88419 and 88431