What is the Greatest Common Factor of 87242 and 87262?

Greatest common factor (GCF) of 87242 and 87262 is 2.

GCF(87242,87262) = 2

We will now calculate the prime factors of 87242 and 87262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87242 and 87262.

How to find the GCF of 87242 and 87262?

We will first find the prime factorization of 87242 and 87262. After we will calculate the factors of 87242 and 87262 and find the biggest common factor number .

Step-1: Prime Factorization of 87242

Prime factors of 87242 are 2, 181, 241. Prime factorization of 87242 in exponential form is:

87242 = 2¹ × 181¹ × 241¹

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 87242

List of positive integer factors of 87242 that divides 87242 without a remainder.

1, 2, 181, 241, 362, 482, 43621

Step-4: Factors of 87262

List of positive integer factors of 87262 that divides 87242 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 87242 and 87262. The biggest common factor number is the GCF number.
So the greatest common factor 87242 and 87262 is 2.

Also check out the Least Common Multiple of 87242 and 87262