What is the Greatest Common Factor of 73024 and 73038?

Greatest common factor (GCF) of 73024 and 73038 is 14.

GCF(73024,73038) = 14

We will now calculate the prime factors of 73024 and 73038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73024 and 73038.

How to find the GCF of 73024 and 73038?

We will first find the prime factorization of 73024 and 73038. After we will calculate the factors of 73024 and 73038 and find the biggest common factor number .

Step-1: Prime Factorization of 73024

Prime factors of 73024 are 2, 7, 163. Prime factorization of 73024 in exponential form is:

73024 = 2⁶ × 7¹ × 163¹

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 73024

List of positive integer factors of 73024 that divides 73024 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 163, 224, 326, 448, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 10432, 18256, 36512

Step-4: Factors of 73038

List of positive integer factors of 73038 that divides 73024 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 73024 and 73038. The biggest common factor number is the GCF number.
So the greatest common factor 73024 and 73038 is 14.

Also check out the Least Common Multiple of 73024 and 73038