What is the Greatest Common Factor of 87228 and 87248?

Greatest common factor (GCF) of 87228 and 87248 is 4.

GCF(87228,87248) = 4

We will now calculate the prime factors of 87228 and 87248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87228 and 87248.

How to find the GCF of 87228 and 87248?

We will first find the prime factorization of 87228 and 87248. After we will calculate the factors of 87228 and 87248 and find the biggest common factor number .

Step-1: Prime Factorization of 87228

Prime factors of 87228 are 2, 3, 2423. Prime factorization of 87228 in exponential form is:

87228 = 2² × 3² × 2423¹

Step-2: 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-3: Factors of 87228

List of positive integer factors of 87228 that divides 87228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2423, 4846, 7269, 9692, 14538, 21807, 29076, 43614

Step-4: Factors of 87248

List of positive integer factors of 87248 that divides 87228 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87228 and 87248. The biggest common factor number is the GCF number.
So the greatest common factor 87228 and 87248 is 4.

Also check out the Least Common Multiple of 87228 and 87248