What is the Greatest Common Factor of 73031 and 73038?

Greatest common factor (GCF) of 73031 and 73038 is 7.

GCF(73031,73038) = 7

We will now calculate the prime factors of 73031 and 73038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73031 and 73038.

How to find the GCF of 73031 and 73038?

We will first find the prime factorization of 73031 and 73038. After we will calculate the factors of 73031 and 73038 and find the biggest common factor number .

Step-1: Prime Factorization of 73031

Prime factors of 73031 are 7, 10433. Prime factorization of 73031 in exponential form is:

73031 = 7¹ × 10433¹

Step-2: 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-3: Factors of 73031

List of positive integer factors of 73031 that divides 73031 without a remainder.

1, 7, 10433

Step-4: Factors of 73038

List of positive integer factors of 73038 that divides 73031 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73031 and 73038. The biggest common factor number is the GCF number.
So the greatest common factor 73031 and 73038 is 7.

Also check out the Least Common Multiple of 73031 and 73038