What is the Greatest Common Factor of 71830 and 71850?

Greatest common factor (GCF) of 71830 and 71850 is 10.

GCF(71830,71850) = 10

We will now calculate the prime factors of 71830 and 71850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71830 and 71850.

How to find the GCF of 71830 and 71850?

We will first find the prime factorization of 71830 and 71850. After we will calculate the factors of 71830 and 71850 and find the biggest common factor number .

Step-1: Prime Factorization of 71830

Prime factors of 71830 are 2, 5, 11, 653. Prime factorization of 71830 in exponential form is:

71830 = 2¹ × 5¹ × 11¹ × 653¹

Step-2: Prime Factorization of 71850

Prime factors of 71850 are 2, 3, 5, 479. Prime factorization of 71850 in exponential form is:

71850 = 2¹ × 3¹ × 5² × 479¹

Step-3: Factors of 71830

List of positive integer factors of 71830 that divides 71830 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 653, 1306, 3265, 6530, 7183, 14366, 35915

Step-4: Factors of 71850

List of positive integer factors of 71850 that divides 71830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 479, 958, 1437, 2395, 2874, 4790, 7185, 11975, 14370, 23950, 35925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71830 and 71850. The biggest common factor number is the GCF number.
So the greatest common factor 71830 and 71850 is 10.

Also check out the Least Common Multiple of 71830 and 71850