What is the Greatest Common Factor of 72056 and 72072?

Greatest common factor (GCF) of 72056 and 72072 is 8.

GCF(72056,72072) = 8

We will now calculate the prime factors of 72056 and 72072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72056 and 72072.

How to find the GCF of 72056 and 72072?

We will first find the prime factorization of 72056 and 72072. After we will calculate the factors of 72056 and 72072 and find the biggest common factor number .

Step-1: Prime Factorization of 72056

Prime factors of 72056 are 2, 9007. Prime factorization of 72056 in exponential form is:

72056 = 2³ × 9007¹

Step-2: Prime Factorization of 72072

Prime factors of 72072 are 2, 3, 7, 11, 13. Prime factorization of 72072 in exponential form is:

72072 = 2³ × 3² × 7¹ × 11¹ × 13¹

Step-3: Factors of 72056

List of positive integer factors of 72056 that divides 72056 without a remainder.

1, 2, 4, 8, 9007, 18014, 36028

Step-4: Factors of 72072

List of positive integer factors of 72072 that divides 72056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 18, 21, 22, 24, 26, 28, 33, 36, 39, 42, 44, 52, 56, 63, 66, 72, 77, 78, 84, 88, 91, 99, 104, 117, 126, 132, 143, 154, 156, 168, 182, 198, 231, 234, 252, 264, 273, 286, 308, 312, 364, 396, 429, 462, 468, 504, 546, 572, 616, 693, 728, 792, 819, 858, 924, 936, 1001, 1092, 1144, 1287, 1386, 1638, 1716, 1848, 2002, 2184, 2574, 2772, 3003, 3276, 3432, 4004, 5148, 5544, 6006, 6552, 8008, 9009, 10296, 12012, 18018, 24024, 36036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72056 and 72072. The biggest common factor number is the GCF number.
So the greatest common factor 72056 and 72072 is 8.

Also check out the Least Common Multiple of 72056 and 72072