What is the Greatest Common Factor of 74052 and 74064?

Greatest common factor (GCF) of 74052 and 74064 is 12.

GCF(74052,74064) = 12

We will now calculate the prime factors of 74052 and 74064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74052 and 74064.

How to find the GCF of 74052 and 74064?

We will first find the prime factorization of 74052 and 74064. After we will calculate the factors of 74052 and 74064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74064

Prime factors of 74064 are 2, 3, 1543. Prime factorization of 74064 in exponential form is:

74064 = 2⁴ × 3¹ × 1543¹

Step-3: Factors of 74052

List of positive integer factors of 74052 that divides 74052 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

Step-4: Factors of 74064

List of positive integer factors of 74064 that divides 74052 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1543, 3086, 4629, 6172, 9258, 12344, 18516, 24688, 37032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74052 and 74064. The biggest common factor number is the GCF number.
So the greatest common factor 74052 and 74064 is 12.

Also check out the Least Common Multiple of 74052 and 74064