What is the Greatest Common Factor of 87446 and 87452?

Greatest common factor (GCF) of 87446 and 87452 is 2.

GCF(87446,87452) = 2

We will now calculate the prime factors of 87446 and 87452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87446 and 87452.

How to find the GCF of 87446 and 87452?

We will first find the prime factorization of 87446 and 87452. After we will calculate the factors of 87446 and 87452 and find the biggest common factor number .

Step-1: Prime Factorization of 87446

Prime factors of 87446 are 2, 23, 1901. Prime factorization of 87446 in exponential form is:

87446 = 2¹ × 23¹ × 1901¹

Step-2: Prime Factorization of 87452

Prime factors of 87452 are 2, 21863. Prime factorization of 87452 in exponential form is:

87452 = 2² × 21863¹

Step-3: Factors of 87446

List of positive integer factors of 87446 that divides 87446 without a remainder.

1, 2, 23, 46, 1901, 3802, 43723

Step-4: Factors of 87452

List of positive integer factors of 87452 that divides 87446 without a remainder.

1, 2, 4, 21863, 43726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87446 and 87452. The biggest common factor number is the GCF number.
So the greatest common factor 87446 and 87452 is 2.

Also check out the Least Common Multiple of 87446 and 87452