What is the Greatest Common Factor of 87431 and 87448?

Greatest common factor (GCF) of 87431 and 87448 is 17.

GCF(87431,87448) = 17

We will now calculate the prime factors of 87431 and 87448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87431 and 87448.

How to find the GCF of 87431 and 87448?

We will first find the prime factorization of 87431 and 87448. After we will calculate the factors of 87431 and 87448 and find the biggest common factor number .

Step-1: Prime Factorization of 87431

Prime factors of 87431 are 17, 37, 139. Prime factorization of 87431 in exponential form is:

87431 = 17¹ × 37¹ × 139¹

Step-2: Prime Factorization of 87448

Prime factors of 87448 are 2, 17, 643. Prime factorization of 87448 in exponential form is:

87448 = 2³ × 17¹ × 643¹

Step-3: Factors of 87431

List of positive integer factors of 87431 that divides 87431 without a remainder.

1, 17, 37, 139, 629, 2363, 5143

Step-4: Factors of 87448

List of positive integer factors of 87448 that divides 87431 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 643, 1286, 2572, 5144, 10931, 21862, 43724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87431 and 87448. The biggest common factor number is the GCF number.
So the greatest common factor 87431 and 87448 is 17.

Also check out the Least Common Multiple of 87431 and 87448