What is the Greatest Common Factor of 73030 and 73038?

Greatest common factor (GCF) of 73030 and 73038 is 2.

GCF(73030,73038) = 2

We will now calculate the prime factors of 73030 and 73038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73030 and 73038.

How to find the GCF of 73030 and 73038?

We will first find the prime factorization of 73030 and 73038. After we will calculate the factors of 73030 and 73038 and find the biggest common factor number .

Step-1: Prime Factorization of 73030

Prime factors of 73030 are 2, 5, 67, 109. Prime factorization of 73030 in exponential form is:

73030 = 2¹ × 5¹ × 67¹ × 109¹

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 73030

List of positive integer factors of 73030 that divides 73030 without a remainder.

1, 2, 5, 10, 67, 109, 134, 218, 335, 545, 670, 1090, 7303, 14606, 36515

Step-4: Factors of 73038

List of positive integer factors of 73038 that divides 73030 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 73030 and 73038. The biggest common factor number is the GCF number.
So the greatest common factor 73030 and 73038 is 2.

Also check out the Least Common Multiple of 73030 and 73038