What is the Greatest Common Factor of 71840 and 71849?

Greatest common factor (GCF) of 71840 and 71849 is 1.

GCF(71840,71849) = 1

We will now calculate the prime factors of 71840 and 71849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71840 and 71849.

How to find the GCF of 71840 and 71849?

We will first find the prime factorization of 71840 and 71849. After we will calculate the factors of 71840 and 71849 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71849

Prime factors of 71849 are 71849. Prime factorization of 71849 in exponential form is:

71849 = 71849¹

Step-3: Factors of 71840

List of positive integer factors of 71840 that divides 71840 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

Step-4: Factors of 71849

List of positive integer factors of 71849 that divides 71840 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71840 and 71849. The biggest common factor number is the GCF number.
So the greatest common factor 71840 and 71849 is 1.

Also check out the Least Common Multiple of 71840 and 71849