What is the Greatest Common Factor of 74035 and 74052?

Greatest common factor (GCF) of 74035 and 74052 is 17.

GCF(74035,74052) = 17

We will now calculate the prime factors of 74035 and 74052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74035 and 74052.

How to find the GCF of 74035 and 74052?

We will first find the prime factorization of 74035 and 74052. After we will calculate the factors of 74035 and 74052 and find the biggest common factor number .

Step-1: Prime Factorization of 74035

Prime factors of 74035 are 5, 13, 17, 67. Prime factorization of 74035 in exponential form is:

74035 = 5¹ × 13¹ × 17¹ × 67¹

Step-2: Prime Factorization of 74052

Prime factors of 74052 are 2, 3, 11, 17. Prime factorization of 74052 in exponential form is:

74052 = 2² × 3² × 11² × 17¹

Step-3: Factors of 74035

List of positive integer factors of 74035 that divides 74035 without a remainder.

1, 5, 13, 17, 65, 67, 85, 221, 335, 871, 1105, 1139, 4355, 5695, 14807

Step-4: Factors of 74052

List of positive integer factors of 74052 that divides 74035 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 121, 132, 153, 187, 198, 204, 242, 306, 363, 374, 396, 484, 561, 612, 726, 748, 1089, 1122, 1452, 1683, 2057, 2178, 2244, 3366, 4114, 4356, 6171, 6732, 8228, 12342, 18513, 24684, 37026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74035 and 74052. The biggest common factor number is the GCF number.
So the greatest common factor 74035 and 74052 is 17.

Also check out the Least Common Multiple of 74035 and 74052