What is the Greatest Common Factor of 71830 and 71840?

Greatest common factor (GCF) of 71830 and 71840 is 10.

GCF(71830,71840) = 10

We will now calculate the prime factors of 71830 and 71840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71830 and 71840.

How to find the GCF of 71830 and 71840?

We will first find the prime factorization of 71830 and 71840. After we will calculate the factors of 71830 and 71840 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 71840

Prime factors of 71840 are 2, 5, 449. Prime factorization of 71840 in exponential form is:

71840 = 2⁵ × 5¹ × 449¹

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 71840

List of positive integer factors of 71840 that divides 71830 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 449, 898, 1796, 2245, 3592, 4490, 7184, 8980, 14368, 17960, 35920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71830 and 71840. The biggest common factor number is the GCF number.
So the greatest common factor 71830 and 71840 is 10.

Also check out the Least Common Multiple of 71830 and 71840