What is the Greatest Common Factor of 63168 and 63182?

Greatest common factor (GCF) of 63168 and 63182 is 14.

GCF(63168,63182) = 14

We will now calculate the prime factors of 63168 and 63182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63168 and 63182.

How to find the GCF of 63168 and 63182?

We will first find the prime factorization of 63168 and 63182. After we will calculate the factors of 63168 and 63182 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63182

Prime factors of 63182 are 2, 7, 4513. Prime factorization of 63182 in exponential form is:

63182 = 2¹ × 7¹ × 4513¹

Step-3: Factors of 63168

List of positive integer factors of 63168 that divides 63168 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

Step-4: Factors of 63182

List of positive integer factors of 63182 that divides 63168 without a remainder.

1, 2, 7, 14, 4513, 9026, 31591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63168 and 63182. The biggest common factor number is the GCF number.
So the greatest common factor 63168 and 63182 is 14.

Also check out the Least Common Multiple of 63168 and 63182