What is the Greatest Common Factor of 74835 and 74850?

Greatest common factor (GCF) of 74835 and 74850 is 15.

GCF(74835,74850) = 15

We will now calculate the prime factors of 74835 and 74850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74835 and 74850.

How to find the GCF of 74835 and 74850?

We will first find the prime factorization of 74835 and 74850. After we will calculate the factors of 74835 and 74850 and find the biggest common factor number .

Step-1: Prime Factorization of 74835

Prime factors of 74835 are 3, 5, 1663. Prime factorization of 74835 in exponential form is:

74835 = 3² × 5¹ × 1663¹

Step-2: Prime Factorization of 74850

Prime factors of 74850 are 2, 3, 5, 499. Prime factorization of 74850 in exponential form is:

74850 = 2¹ × 3¹ × 5² × 499¹

Step-3: Factors of 74835

List of positive integer factors of 74835 that divides 74835 without a remainder.

1, 3, 5, 9, 15, 45, 1663, 4989, 8315, 14967, 24945

Step-4: Factors of 74850

List of positive integer factors of 74850 that divides 74835 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 499, 998, 1497, 2495, 2994, 4990, 7485, 12475, 14970, 24950, 37425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74835 and 74850. The biggest common factor number is the GCF number.
So the greatest common factor 74835 and 74850 is 15.

Also check out the Least Common Multiple of 74835 and 74850