What is the Greatest Common Factor of 72072 and 72082?

Greatest common factor (GCF) of 72072 and 72082 is 2.

GCF(72072,72082) = 2

We will now calculate the prime factors of 72072 and 72082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72072 and 72082.

How to find the GCF of 72072 and 72082?

We will first find the prime factorization of 72072 and 72082. After we will calculate the factors of 72072 and 72082 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 72082

Prime factors of 72082 are 2, 23, 1567. Prime factorization of 72082 in exponential form is:

72082 = 2¹ × 23¹ × 1567¹

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 72082

List of positive integer factors of 72082 that divides 72072 without a remainder.

1, 2, 23, 46, 1567, 3134, 36041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72072 and 72082. The biggest common factor number is the GCF number.
So the greatest common factor 72072 and 72082 is 2.

Also check out the Least Common Multiple of 72072 and 72082