What is the Greatest Common Factor of 72988 and 73000?

Greatest common factor (GCF) of 72988 and 73000 is 4.

GCF(72988,73000) = 4

We will now calculate the prime factors of 72988 and 73000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72988 and 73000.

How to find the GCF of 72988 and 73000?

We will first find the prime factorization of 72988 and 73000. After we will calculate the factors of 72988 and 73000 and find the biggest common factor number .

Step-1: Prime Factorization of 72988

Prime factors of 72988 are 2, 71, 257. Prime factorization of 72988 in exponential form is:

72988 = 2² × 71¹ × 257¹

Step-2: 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-3: Factors of 72988

List of positive integer factors of 72988 that divides 72988 without a remainder.

1, 2, 4, 71, 142, 257, 284, 514, 1028, 18247, 36494

Step-4: Factors of 73000

List of positive integer factors of 73000 that divides 72988 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72988 and 73000. The biggest common factor number is the GCF number.
So the greatest common factor 72988 and 73000 is 4.

Also check out the Least Common Multiple of 72988 and 73000