What is the Greatest Common Factor of 72980 and 73000?

Greatest common factor (GCF) of 72980 and 73000 is 20.

GCF(72980,73000) = 20

We will now calculate the prime factors of 72980 and 73000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72980 and 73000.

How to find the GCF of 72980 and 73000?

We will first find the prime factorization of 72980 and 73000. After we will calculate the factors of 72980 and 73000 and find the biggest common factor number .

Step-1: Prime Factorization of 72980

Prime factors of 72980 are 2, 5, 41, 89. Prime factorization of 72980 in exponential form is:

72980 = 2² × 5¹ × 41¹ × 89¹

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 72980

List of positive integer factors of 72980 that divides 72980 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 89, 164, 178, 205, 356, 410, 445, 820, 890, 1780, 3649, 7298, 14596, 18245, 36490

Step-4: Factors of 73000

List of positive integer factors of 73000 that divides 72980 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 72980 and 73000. The biggest common factor number is the GCF number.
So the greatest common factor 72980 and 73000 is 20.

Also check out the Least Common Multiple of 72980 and 73000