What is the Greatest Common Factor of 88455 and 88460?

Greatest common factor (GCF) of 88455 and 88460 is 5.

GCF(88455,88460) = 5

We will now calculate the prime factors of 88455 and 88460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88455 and 88460.

How to find the GCF of 88455 and 88460?

We will first find the prime factorization of 88455 and 88460. After we will calculate the factors of 88455 and 88460 and find the biggest common factor number .

Step-1: Prime Factorization of 88455

Prime factors of 88455 are 3, 5, 5897. Prime factorization of 88455 in exponential form is:

88455 = 3¹ × 5¹ × 5897¹

Step-2: Prime Factorization of 88460

Prime factors of 88460 are 2, 5, 4423. Prime factorization of 88460 in exponential form is:

88460 = 2² × 5¹ × 4423¹

Step-3: Factors of 88455

List of positive integer factors of 88455 that divides 88455 without a remainder.

1, 3, 5, 15, 5897, 17691, 29485

Step-4: Factors of 88460

List of positive integer factors of 88460 that divides 88455 without a remainder.

1, 2, 4, 5, 10, 20, 4423, 8846, 17692, 22115, 44230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88455 and 88460. The biggest common factor number is the GCF number.
So the greatest common factor 88455 and 88460 is 5.

Also check out the Least Common Multiple of 88455 and 88460