What is the Greatest Common Factor of 73038 and 73045?

Greatest common factor (GCF) of 73038 and 73045 is 7.

GCF(73038,73045) = 7

We will now calculate the prime factors of 73038 and 73045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73038 and 73045.

How to find the GCF of 73038 and 73045?

We will first find the prime factorization of 73038 and 73045. After we will calculate the factors of 73038 and 73045 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 73045

Prime factors of 73045 are 5, 7, 2087. Prime factorization of 73045 in exponential form is:

73045 = 5¹ × 7¹ × 2087¹

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 73045

List of positive integer factors of 73045 that divides 73038 without a remainder.

1, 5, 7, 35, 2087, 10435, 14609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73038 and 73045. The biggest common factor number is the GCF number.
So the greatest common factor 73038 and 73045 is 7.

Also check out the Least Common Multiple of 73038 and 73045