What is the Greatest Common Factor of 88892 and 88909?

Greatest common factor (GCF) of 88892 and 88909 is 1.

GCF(88892,88909) = 1

We will now calculate the prime factors of 88892 and 88909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88892 and 88909.

How to find the GCF of 88892 and 88909?

We will first find the prime factorization of 88892 and 88909. After we will calculate the factors of 88892 and 88909 and find the biggest common factor number .

Step-1: Prime Factorization of 88892

Prime factors of 88892 are 2, 71, 313. Prime factorization of 88892 in exponential form is:

88892 = 2² × 71¹ × 313¹

Step-2: Prime Factorization of 88909

Prime factors of 88909 are 67, 1327. Prime factorization of 88909 in exponential form is:

88909 = 67¹ × 1327¹

Step-3: Factors of 88892

List of positive integer factors of 88892 that divides 88892 without a remainder.

1, 2, 4, 71, 142, 284, 313, 626, 1252, 22223, 44446

Step-4: Factors of 88909

List of positive integer factors of 88909 that divides 88892 without a remainder.

1, 67, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88892 and 88909. The biggest common factor number is the GCF number.
So the greatest common factor 88892 and 88909 is 1.

Also check out the Least Common Multiple of 88892 and 88909