What is the Greatest Common Factor of 63162 and 63168?

Greatest common factor (GCF) of 63162 and 63168 is 6.

GCF(63162,63168) = 6

We will now calculate the prime factors of 63162 and 63168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63162 and 63168.

How to find the GCF of 63162 and 63168?

We will first find the prime factorization of 63162 and 63168. After we will calculate the factors of 63162 and 63168 and find the biggest common factor number .

Step-1: Prime Factorization of 63162

Prime factors of 63162 are 2, 3, 11, 29. Prime factorization of 63162 in exponential form is:

63162 = 2¹ × 3² × 11² × 29¹

Step-2: Prime Factorization of 63168

Prime factors of 63168 are 2, 3, 7, 47. Prime factorization of 63168 in exponential form is:

63168 = 2⁶ × 3¹ × 7¹ × 47¹

Step-3: Factors of 63162

List of positive integer factors of 63162 that divides 63162 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 121, 174, 198, 242, 261, 319, 363, 522, 638, 726, 957, 1089, 1914, 2178, 2871, 3509, 5742, 7018, 10527, 21054, 31581

Step-4: Factors of 63168

List of positive integer factors of 63168 that divides 63162 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 47, 48, 56, 64, 84, 94, 96, 112, 141, 168, 188, 192, 224, 282, 329, 336, 376, 448, 564, 658, 672, 752, 987, 1128, 1316, 1344, 1504, 1974, 2256, 2632, 3008, 3948, 4512, 5264, 7896, 9024, 10528, 15792, 21056, 31584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63162 and 63168. The biggest common factor number is the GCF number.
So the greatest common factor 63162 and 63168 is 6.

Also check out the Least Common Multiple of 63162 and 63168