What is the Greatest Common Factor of 72058 and 72072?

Greatest common factor (GCF) of 72058 and 72072 is 14.

GCF(72058,72072) = 14

We will now calculate the prime factors of 72058 and 72072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72058 and 72072.

How to find the GCF of 72058 and 72072?

We will first find the prime factorization of 72058 and 72072. After we will calculate the factors of 72058 and 72072 and find the biggest common factor number .

Step-1: Prime Factorization of 72058

Prime factors of 72058 are 2, 7, 5147. Prime factorization of 72058 in exponential form is:

72058 = 2¹ × 7¹ × 5147¹

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 72058

List of positive integer factors of 72058 that divides 72058 without a remainder.

1, 2, 7, 14, 5147, 10294, 36029

Step-4: Factors of 72072

List of positive integer factors of 72072 that divides 72058 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 72058 and 72072. The biggest common factor number is the GCF number.
So the greatest common factor 72058 and 72072 is 14.

Also check out the Least Common Multiple of 72058 and 72072