What is the Greatest Common Factor of 87478 and 87496?

Greatest common factor (GCF) of 87478 and 87496 is 2.

GCF(87478,87496) = 2

We will now calculate the prime factors of 87478 and 87496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87478 and 87496.

How to find the GCF of 87478 and 87496?

We will first find the prime factorization of 87478 and 87496. After we will calculate the factors of 87478 and 87496 and find the biggest common factor number .

Step-1: Prime Factorization of 87478

Prime factors of 87478 are 2, 191, 229. Prime factorization of 87478 in exponential form is:

87478 = 2¹ × 191¹ × 229¹

Step-2: Prime Factorization of 87496

Prime factors of 87496 are 2, 10937. Prime factorization of 87496 in exponential form is:

87496 = 2³ × 10937¹

Step-3: Factors of 87478

List of positive integer factors of 87478 that divides 87478 without a remainder.

1, 2, 191, 229, 382, 458, 43739

Step-4: Factors of 87496

List of positive integer factors of 87496 that divides 87478 without a remainder.

1, 2, 4, 8, 10937, 21874, 43748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87478 and 87496. The biggest common factor number is the GCF number.
So the greatest common factor 87478 and 87496 is 2.

Also check out the Least Common Multiple of 87478 and 87496