What is the Greatest Common Factor of 74830 and 74850?

Greatest common factor (GCF) of 74830 and 74850 is 10.

GCF(74830,74850) = 10

We will now calculate the prime factors of 74830 and 74850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74830 and 74850.

How to find the GCF of 74830 and 74850?

We will first find the prime factorization of 74830 and 74850. After we will calculate the factors of 74830 and 74850 and find the biggest common factor number .

Step-1: Prime Factorization of 74830

Prime factors of 74830 are 2, 5, 7, 1069. Prime factorization of 74830 in exponential form is:

74830 = 2¹ × 5¹ × 7¹ × 1069¹

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 74830

List of positive integer factors of 74830 that divides 74830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1069, 2138, 5345, 7483, 10690, 14966, 37415

Step-4: Factors of 74850

List of positive integer factors of 74850 that divides 74830 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 74830 and 74850. The biggest common factor number is the GCF number.
So the greatest common factor 74830 and 74850 is 10.

Also check out the Least Common Multiple of 74830 and 74850