What is the Greatest Common Factor of 63153 and 63168?

Greatest common factor (GCF) of 63153 and 63168 is 3.

GCF(63153,63168) = 3

We will now calculate the prime factors of 63153 and 63168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63153 and 63168.

How to find the GCF of 63153 and 63168?

We will first find the prime factorization of 63153 and 63168. After we will calculate the factors of 63153 and 63168 and find the biggest common factor number .

Step-1: Prime Factorization of 63153

Prime factors of 63153 are 3, 2339. Prime factorization of 63153 in exponential form is:

63153 = 3³ × 2339¹

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 63153

List of positive integer factors of 63153 that divides 63153 without a remainder.

1, 3, 9, 27, 2339, 7017, 21051

Step-4: Factors of 63168

List of positive integer factors of 63168 that divides 63153 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 63153 and 63168. The biggest common factor number is the GCF number.
So the greatest common factor 63153 and 63168 is 3.

Also check out the Least Common Multiple of 63153 and 63168