What is the Greatest Common Factor of 88435 and 88448?

Greatest common factor (GCF) of 88435 and 88448 is 1.

GCF(88435,88448) = 1

We will now calculate the prime factors of 88435 and 88448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88435 and 88448.

How to find the GCF of 88435 and 88448?

We will first find the prime factorization of 88435 and 88448. After we will calculate the factors of 88435 and 88448 and find the biggest common factor number .

Step-1: Prime Factorization of 88435

Prime factors of 88435 are 5, 23, 769. Prime factorization of 88435 in exponential form is:

88435 = 5¹ × 23¹ × 769¹

Step-2: Prime Factorization of 88448

Prime factors of 88448 are 2, 691. Prime factorization of 88448 in exponential form is:

88448 = 2⁷ × 691¹

Step-3: Factors of 88435

List of positive integer factors of 88435 that divides 88435 without a remainder.

1, 5, 23, 115, 769, 3845, 17687

Step-4: Factors of 88448

List of positive integer factors of 88448 that divides 88435 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 691, 1382, 2764, 5528, 11056, 22112, 44224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88435 and 88448. The biggest common factor number is the GCF number.
So the greatest common factor 88435 and 88448 is 1.

Also check out the Least Common Multiple of 88435 and 88448