What is the Greatest Common Factor of 73038 and 73052?

Greatest common factor (GCF) of 73038 and 73052 is 14.

GCF(73038,73052) = 14

We will now calculate the prime factors of 73038 and 73052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73038 and 73052.

How to find the GCF of 73038 and 73052?

We will first find the prime factorization of 73038 and 73052. After we will calculate the factors of 73038 and 73052 and find the biggest common factor number .

Step-1: Prime Factorization of 73038

Prime factors of 73038 are 2, 3, 7, 37, 47. Prime factorization of 73038 in exponential form is:

73038 = 2¹ × 3¹ × 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 73052

Prime factors of 73052 are 2, 7, 2609. Prime factorization of 73052 in exponential form is:

73052 = 2² × 7¹ × 2609¹

Step-3: Factors of 73038

List of positive integer factors of 73038 that divides 73038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 47, 74, 94, 111, 141, 222, 259, 282, 329, 518, 658, 777, 987, 1554, 1739, 1974, 3478, 5217, 10434, 12173, 24346, 36519

Step-4: Factors of 73052

List of positive integer factors of 73052 that divides 73038 without a remainder.

1, 2, 4, 7, 14, 28, 2609, 5218, 10436, 18263, 36526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73038 and 73052. The biggest common factor number is the GCF number.
So the greatest common factor 73038 and 73052 is 14.

Also check out the Least Common Multiple of 73038 and 73052