What is the Greatest Common Factor of 87892 and 87912?

Greatest common factor (GCF) of 87892 and 87912 is 4.

GCF(87892,87912) = 4

We will now calculate the prime factors of 87892 and 87912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87892 and 87912.

How to find the GCF of 87892 and 87912?

We will first find the prime factorization of 87892 and 87912. After we will calculate the factors of 87892 and 87912 and find the biggest common factor number .

Step-1: Prime Factorization of 87892

Prime factors of 87892 are 2, 7, 43, 73. Prime factorization of 87892 in exponential form is:

87892 = 2² × 7¹ × 43¹ × 73¹

Step-2: Prime Factorization of 87912

Prime factors of 87912 are 2, 3, 11, 37. Prime factorization of 87912 in exponential form is:

87912 = 2³ × 3³ × 11¹ × 37¹

Step-3: Factors of 87892

List of positive integer factors of 87892 that divides 87892 without a remainder.

1, 2, 4, 7, 14, 28, 43, 73, 86, 146, 172, 292, 301, 511, 602, 1022, 1204, 2044, 3139, 6278, 12556, 21973, 43946

Step-4: Factors of 87912

List of positive integer factors of 87912 that divides 87892 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 37, 44, 54, 66, 72, 74, 88, 99, 108, 111, 132, 148, 198, 216, 222, 264, 296, 297, 333, 396, 407, 444, 594, 666, 792, 814, 888, 999, 1188, 1221, 1332, 1628, 1998, 2376, 2442, 2664, 3256, 3663, 3996, 4884, 7326, 7992, 9768, 10989, 14652, 21978, 29304, 43956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87892 and 87912. The biggest common factor number is the GCF number.
So the greatest common factor 87892 and 87912 is 4.

Also check out the Least Common Multiple of 87892 and 87912