What is the Greatest Common Factor of 63160 and 63168?

Greatest common factor (GCF) of 63160 and 63168 is 8.

GCF(63160,63168) = 8

We will now calculate the prime factors of 63160 and 63168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63160 and 63168.

How to find the GCF of 63160 and 63168?

We will first find the prime factorization of 63160 and 63168. After we will calculate the factors of 63160 and 63168 and find the biggest common factor number .

Step-1: Prime Factorization of 63160

Prime factors of 63160 are 2, 5, 1579. Prime factorization of 63160 in exponential form is:

63160 = 2³ × 5¹ × 1579¹

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 63160

List of positive integer factors of 63160 that divides 63160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1579, 3158, 6316, 7895, 12632, 15790, 31580

Step-4: Factors of 63168

List of positive integer factors of 63168 that divides 63160 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 63160 and 63168. The biggest common factor number is the GCF number.
So the greatest common factor 63160 and 63168 is 8.

Also check out the Least Common Multiple of 63160 and 63168