What is the Greatest Common Factor of 87248 and 87262?

Greatest common factor (GCF) of 87248 and 87262 is 14.

GCF(87248,87262) = 14

We will now calculate the prime factors of 87248 and 87262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87248 and 87262.

How to find the GCF of 87248 and 87262?

We will first find the prime factorization of 87248 and 87262. After we will calculate the factors of 87248 and 87262 and find the biggest common factor number .

Step-1: Prime Factorization of 87248

Prime factors of 87248 are 2, 7, 19, 41. Prime factorization of 87248 in exponential form is:

87248 = 2⁴ × 7¹ × 19¹ × 41¹

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 87248

List of positive integer factors of 87248 that divides 87248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 41, 56, 76, 82, 112, 133, 152, 164, 266, 287, 304, 328, 532, 574, 656, 779, 1064, 1148, 1558, 2128, 2296, 3116, 4592, 5453, 6232, 10906, 12464, 21812, 43624

Step-4: Factors of 87262

List of positive integer factors of 87262 that divides 87248 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 87248 and 87262. The biggest common factor number is the GCF number.
So the greatest common factor 87248 and 87262 is 14.

Also check out the Least Common Multiple of 87248 and 87262