What is the Greatest Common Factor of 87272 and 87282?

Greatest common factor (GCF) of 87272 and 87282 is 2.

GCF(87272,87282) = 2

We will now calculate the prime factors of 87272 and 87282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87272 and 87282.

How to find the GCF of 87272 and 87282?

We will first find the prime factorization of 87272 and 87282. After we will calculate the factors of 87272 and 87282 and find the biggest common factor number .

Step-1: Prime Factorization of 87272

Prime factors of 87272 are 2, 10909. Prime factorization of 87272 in exponential form is:

87272 = 2³ × 10909¹

Step-2: Prime Factorization of 87282

Prime factors of 87282 are 2, 3, 13, 373. Prime factorization of 87282 in exponential form is:

87282 = 2¹ × 3² × 13¹ × 373¹

Step-3: Factors of 87272

List of positive integer factors of 87272 that divides 87272 without a remainder.

1, 2, 4, 8, 10909, 21818, 43636

Step-4: Factors of 87282

List of positive integer factors of 87282 that divides 87272 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 373, 746, 1119, 2238, 3357, 4849, 6714, 9698, 14547, 29094, 43641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87272 and 87282. The biggest common factor number is the GCF number.
So the greatest common factor 87272 and 87282 is 2.

Also check out the Least Common Multiple of 87272 and 87282