What is the Greatest Common Factor of 72072 and 72083?

Greatest common factor (GCF) of 72072 and 72083 is 11.

GCF(72072,72083) = 11

We will now calculate the prime factors of 72072 and 72083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72072 and 72083.

How to find the GCF of 72072 and 72083?

We will first find the prime factorization of 72072 and 72083. After we will calculate the factors of 72072 and 72083 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72083

Prime factors of 72083 are 11, 6553. Prime factorization of 72083 in exponential form is:

72083 = 11¹ × 6553¹

Step-3: Factors of 72072

List of positive integer factors of 72072 that divides 72072 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

Step-4: Factors of 72083

List of positive integer factors of 72083 that divides 72072 without a remainder.

1, 11, 6553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72072 and 72083. The biggest common factor number is the GCF number.
So the greatest common factor 72072 and 72083 is 11.

Also check out the Least Common Multiple of 72072 and 72083