What is the Greatest Common Factor of 73990 and 74000?

Greatest common factor (GCF) of 73990 and 74000 is 10.

GCF(73990,74000) = 10

We will now calculate the prime factors of 73990 and 74000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73990 and 74000.

How to find the GCF of 73990 and 74000?

We will first find the prime factorization of 73990 and 74000. After we will calculate the factors of 73990 and 74000 and find the biggest common factor number .

Step-1: Prime Factorization of 73990

Prime factors of 73990 are 2, 5, 7, 151. Prime factorization of 73990 in exponential form is:

73990 = 2¹ × 5¹ × 7² × 151¹

Step-2: Prime Factorization of 74000

Prime factors of 74000 are 2, 5, 37. Prime factorization of 74000 in exponential form is:

74000 = 2⁴ × 5³ × 37¹

Step-3: Factors of 73990

List of positive integer factors of 73990 that divides 73990 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 151, 245, 302, 490, 755, 1057, 1510, 2114, 5285, 7399, 10570, 14798, 36995

Step-4: Factors of 74000

List of positive integer factors of 74000 that divides 73990 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 37, 40, 50, 74, 80, 100, 125, 148, 185, 200, 250, 296, 370, 400, 500, 592, 740, 925, 1000, 1480, 1850, 2000, 2960, 3700, 4625, 7400, 9250, 14800, 18500, 37000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73990 and 74000. The biggest common factor number is the GCF number.
So the greatest common factor 73990 and 74000 is 10.

Also check out the Least Common Multiple of 73990 and 74000