What is the Greatest Common Factor of 81228 and 81248?

Greatest common factor (GCF) of 81228 and 81248 is 4.

GCF(81228,81248) = 4

We will now calculate the prime factors of 81228 and 81248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81228 and 81248.

How to find the GCF of 81228 and 81248?

We will first find the prime factorization of 81228 and 81248. After we will calculate the factors of 81228 and 81248 and find the biggest common factor number .

Step-1: Prime Factorization of 81228

Prime factors of 81228 are 2, 3, 7, 967. Prime factorization of 81228 in exponential form is:

81228 = 2² × 3¹ × 7¹ × 967¹

Step-2: Prime Factorization of 81248

Prime factors of 81248 are 2, 2539. Prime factorization of 81248 in exponential form is:

81248 = 2⁵ × 2539¹

Step-3: Factors of 81228

List of positive integer factors of 81228 that divides 81228 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 967, 1934, 2901, 3868, 5802, 6769, 11604, 13538, 20307, 27076, 40614

Step-4: Factors of 81248

List of positive integer factors of 81248 that divides 81228 without a remainder.

1, 2, 4, 8, 16, 32, 2539, 5078, 10156, 20312, 40624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81228 and 81248. The biggest common factor number is the GCF number.
So the greatest common factor 81228 and 81248 is 4.

Also check out the Least Common Multiple of 81228 and 81248