What is the Greatest Common Factor of 53830 and 53850?

Greatest common factor (GCF) of 53830 and 53850 is 10.

GCF(53830,53850) = 10

We will now calculate the prime factors of 53830 and 53850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53830 and 53850.

How to find the GCF of 53830 and 53850?

We will first find the prime factorization of 53830 and 53850. After we will calculate the factors of 53830 and 53850 and find the biggest common factor number .

Step-1: Prime Factorization of 53830

Prime factors of 53830 are 2, 5, 7, 769. Prime factorization of 53830 in exponential form is:

53830 = 2¹ × 5¹ × 7¹ × 769¹

Step-2: Prime Factorization of 53850

Prime factors of 53850 are 2, 3, 5, 359. Prime factorization of 53850 in exponential form is:

53850 = 2¹ × 3¹ × 5² × 359¹

Step-3: Factors of 53830

List of positive integer factors of 53830 that divides 53830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 769, 1538, 3845, 5383, 7690, 10766, 26915

Step-4: Factors of 53850

List of positive integer factors of 53850 that divides 53830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 359, 718, 1077, 1795, 2154, 3590, 5385, 8975, 10770, 17950, 26925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53830 and 53850. The biggest common factor number is the GCF number.
So the greatest common factor 53830 and 53850 is 10.

Also check out the Least Common Multiple of 53830 and 53850