What is the Greatest Common Factor of 88845 and 88865?

Greatest common factor (GCF) of 88845 and 88865 is 5.

GCF(88845,88865) = 5

We will now calculate the prime factors of 88845 and 88865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88845 and 88865.

How to find the GCF of 88845 and 88865?

We will first find the prime factorization of 88845 and 88865. After we will calculate the factors of 88845 and 88865 and find the biggest common factor number .

Step-1: Prime Factorization of 88845

Prime factors of 88845 are 3, 5, 5923. Prime factorization of 88845 in exponential form is:

88845 = 3¹ × 5¹ × 5923¹

Step-2: Prime Factorization of 88865

Prime factors of 88865 are 5, 7, 2539. Prime factorization of 88865 in exponential form is:

88865 = 5¹ × 7¹ × 2539¹

Step-3: Factors of 88845

List of positive integer factors of 88845 that divides 88845 without a remainder.

1, 3, 5, 15, 5923, 17769, 29615

Step-4: Factors of 88865

List of positive integer factors of 88865 that divides 88845 without a remainder.

1, 5, 7, 35, 2539, 12695, 17773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88845 and 88865. The biggest common factor number is the GCF number.
So the greatest common factor 88845 and 88865 is 5.

Also check out the Least Common Multiple of 88845 and 88865