What is the Greatest Common Factor of 73000 and 73010?

Greatest common factor (GCF) of 73000 and 73010 is 10.

GCF(73000,73010) = 10

We will now calculate the prime factors of 73000 and 73010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73000 and 73010.

How to find the GCF of 73000 and 73010?

We will first find the prime factorization of 73000 and 73010. After we will calculate the factors of 73000 and 73010 and find the biggest common factor number .

Step-1: Prime Factorization of 73000

Prime factors of 73000 are 2, 5, 73. Prime factorization of 73000 in exponential form is:

73000 = 2³ × 5³ × 73¹

Step-2: 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-3: Factors of 73000

List of positive integer factors of 73000 that divides 73000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 73, 100, 125, 146, 200, 250, 292, 365, 500, 584, 730, 1000, 1460, 1825, 2920, 3650, 7300, 9125, 14600, 18250, 36500

Step-4: Factors of 73010

List of positive integer factors of 73010 that divides 73000 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73000 and 73010. The biggest common factor number is the GCF number.
So the greatest common factor 73000 and 73010 is 10.

Also check out the Least Common Multiple of 73000 and 73010