What is the Greatest Common Factor of 74600 and 74610?

Greatest common factor (GCF) of 74600 and 74610 is 10.

GCF(74600,74610) = 10

We will now calculate the prime factors of 74600 and 74610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74600 and 74610.

How to find the GCF of 74600 and 74610?

We will first find the prime factorization of 74600 and 74610. After we will calculate the factors of 74600 and 74610 and find the biggest common factor number .

Step-1: Prime Factorization of 74600

Prime factors of 74600 are 2, 5, 373. Prime factorization of 74600 in exponential form is:

74600 = 2³ × 5² × 373¹

Step-2: Prime Factorization of 74610

Prime factors of 74610 are 2, 3, 5, 829. Prime factorization of 74610 in exponential form is:

74610 = 2¹ × 3² × 5¹ × 829¹

Step-3: Factors of 74600

List of positive integer factors of 74600 that divides 74600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 373, 746, 1492, 1865, 2984, 3730, 7460, 9325, 14920, 18650, 37300

Step-4: Factors of 74610

List of positive integer factors of 74610 that divides 74600 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 829, 1658, 2487, 4145, 4974, 7461, 8290, 12435, 14922, 24870, 37305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74600 and 74610. The biggest common factor number is the GCF number.
So the greatest common factor 74600 and 74610 is 10.

Also check out the Least Common Multiple of 74600 and 74610