What is the Greatest Common Factor of 87254 and 87262?

Greatest common factor (GCF) of 87254 and 87262 is 2.

GCF(87254,87262) = 2

We will now calculate the prime factors of 87254 and 87262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87254 and 87262.

How to find the GCF of 87254 and 87262?

We will first find the prime factorization of 87254 and 87262. After we will calculate the factors of 87254 and 87262 and find the biggest common factor number .

Step-1: Prime Factorization of 87254

Prime factors of 87254 are 2, 43627. Prime factorization of 87254 in exponential form is:

87254 = 2¹ × 43627¹

Step-2: Prime Factorization of 87262

Prime factors of 87262 are 2, 7, 23, 271. Prime factorization of 87262 in exponential form is:

87262 = 2¹ × 7¹ × 23¹ × 271¹

Step-3: Factors of 87254

List of positive integer factors of 87254 that divides 87254 without a remainder.

1, 2, 43627

Step-4: Factors of 87262

List of positive integer factors of 87262 that divides 87254 without a remainder.

1, 2, 7, 14, 23, 46, 161, 271, 322, 542, 1897, 3794, 6233, 12466, 43631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87254 and 87262. The biggest common factor number is the GCF number.
So the greatest common factor 87254 and 87262 is 2.

Also check out the Least Common Multiple of 87254 and 87262