What is the Greatest Common Factor of 73010 and 73024?

Greatest common factor (GCF) of 73010 and 73024 is 14.

GCF(73010,73024) = 14

We will now calculate the prime factors of 73010 and 73024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73010 and 73024.

How to find the GCF of 73010 and 73024?

We will first find the prime factorization of 73010 and 73024. After we will calculate the factors of 73010 and 73024 and find the biggest common factor number .

Step-1: Prime Factorization of 73010

Prime factors of 73010 are 2, 5, 7, 149. Prime factorization of 73010 in exponential form is:

73010 = 2¹ × 5¹ × 7² × 149¹

Step-2: 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-3: Factors of 73010

List of positive integer factors of 73010 that divides 73010 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 149, 245, 298, 490, 745, 1043, 1490, 2086, 5215, 7301, 10430, 14602, 36505

Step-4: Factors of 73024

List of positive integer factors of 73024 that divides 73010 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73010 and 73024. The biggest common factor number is the GCF number.
So the greatest common factor 73010 and 73024 is 14.

Also check out the Least Common Multiple of 73010 and 73024