What is the Greatest Common Factor of 71905 and 71920?

Greatest common factor (GCF) of 71905 and 71920 is 5.

GCF(71905,71920) = 5

We will now calculate the prime factors of 71905 and 71920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71905 and 71920.

How to find the GCF of 71905 and 71920?

We will first find the prime factorization of 71905 and 71920. After we will calculate the factors of 71905 and 71920 and find the biggest common factor number .

Step-1: Prime Factorization of 71905

Prime factors of 71905 are 5, 73, 197. Prime factorization of 71905 in exponential form is:

71905 = 5¹ × 73¹ × 197¹

Step-2: Prime Factorization of 71920

Prime factors of 71920 are 2, 5, 29, 31. Prime factorization of 71920 in exponential form is:

71920 = 2⁴ × 5¹ × 29¹ × 31¹

Step-3: Factors of 71905

List of positive integer factors of 71905 that divides 71905 without a remainder.

1, 5, 73, 197, 365, 985, 14381

Step-4: Factors of 71920

List of positive integer factors of 71920 that divides 71905 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 31, 40, 58, 62, 80, 116, 124, 145, 155, 232, 248, 290, 310, 464, 496, 580, 620, 899, 1160, 1240, 1798, 2320, 2480, 3596, 4495, 7192, 8990, 14384, 17980, 35960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71905 and 71920. The biggest common factor number is the GCF number.
So the greatest common factor 71905 and 71920 is 5.

Also check out the Least Common Multiple of 71905 and 71920