What is the Greatest Common Factor of 73250 and 73270?

Greatest common factor (GCF) of 73250 and 73270 is 10.

GCF(73250,73270) = 10

We will now calculate the prime factors of 73250 and 73270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73250 and 73270.

How to find the GCF of 73250 and 73270?

We will first find the prime factorization of 73250 and 73270. After we will calculate the factors of 73250 and 73270 and find the biggest common factor number .

Step-1: Prime Factorization of 73250

Prime factors of 73250 are 2, 5, 293. Prime factorization of 73250 in exponential form is:

73250 = 2¹ × 5³ × 293¹

Step-2: Prime Factorization of 73270

Prime factors of 73270 are 2, 5, 17, 431. Prime factorization of 73270 in exponential form is:

73270 = 2¹ × 5¹ × 17¹ × 431¹

Step-3: Factors of 73250

List of positive integer factors of 73250 that divides 73250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 293, 586, 1465, 2930, 7325, 14650, 36625

Step-4: Factors of 73270

List of positive integer factors of 73270 that divides 73250 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 431, 862, 2155, 4310, 7327, 14654, 36635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73250 and 73270. The biggest common factor number is the GCF number.
So the greatest common factor 73250 and 73270 is 10.

Also check out the Least Common Multiple of 73250 and 73270