What is the Greatest Common Factor of 28466 and 28476?

Greatest common factor (GCF) of 28466 and 28476 is 2.

GCF(28466,28476) = 2

We will now calculate the prime factors of 28466 and 28476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28466 and 28476.

How to find the GCF of 28466 and 28476?

We will first find the prime factorization of 28466 and 28476. After we will calculate the factors of 28466 and 28476 and find the biggest common factor number .

Step-1: Prime Factorization of 28466

Prime factors of 28466 are 2, 43, 331. Prime factorization of 28466 in exponential form is:

28466 = 2¹ × 43¹ × 331¹

Step-2: Prime Factorization of 28476

Prime factors of 28476 are 2, 3, 7, 113. Prime factorization of 28476 in exponential form is:

28476 = 2² × 3² × 7¹ × 113¹

Step-3: Factors of 28466

List of positive integer factors of 28466 that divides 28466 without a remainder.

1, 2, 43, 86, 331, 662, 14233

Step-4: Factors of 28476

List of positive integer factors of 28476 that divides 28466 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 113, 126, 226, 252, 339, 452, 678, 791, 1017, 1356, 1582, 2034, 2373, 3164, 4068, 4746, 7119, 9492, 14238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28466 and 28476. The biggest common factor number is the GCF number.
So the greatest common factor 28466 and 28476 is 2.

Also check out the Least Common Multiple of 28466 and 28476