What is the Greatest Common Factor of 74500 and 74510?

Greatest common factor (GCF) of 74500 and 74510 is 10.

GCF(74500,74510) = 10

We will now calculate the prime factors of 74500 and 74510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74500 and 74510.

How to find the GCF of 74500 and 74510?

We will first find the prime factorization of 74500 and 74510. After we will calculate the factors of 74500 and 74510 and find the biggest common factor number .

Step-1: Prime Factorization of 74500

Prime factors of 74500 are 2, 5, 149. Prime factorization of 74500 in exponential form is:

74500 = 2² × 5³ × 149¹

Step-2: Prime Factorization of 74510

Prime factors of 74510 are 2, 5, 7451. Prime factorization of 74510 in exponential form is:

74510 = 2¹ × 5¹ × 7451¹

Step-3: Factors of 74500

List of positive integer factors of 74500 that divides 74500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 149, 250, 298, 500, 596, 745, 1490, 2980, 3725, 7450, 14900, 18625, 37250

Step-4: Factors of 74510

List of positive integer factors of 74510 that divides 74500 without a remainder.

1, 2, 5, 10, 7451, 14902, 37255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74500 and 74510. The biggest common factor number is the GCF number.
So the greatest common factor 74500 and 74510 is 10.

Also check out the Least Common Multiple of 74500 and 74510