What is the Greatest Common Factor of 88205 and 88211?

Greatest common factor (GCF) of 88205 and 88211 is 1.

GCF(88205,88211) = 1

We will now calculate the prime factors of 88205 and 88211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88205 and 88211.

How to find the GCF of 88205 and 88211?

We will first find the prime factorization of 88205 and 88211. After we will calculate the factors of 88205 and 88211 and find the biggest common factor number .

Step-1: Prime Factorization of 88205

Prime factors of 88205 are 5, 13, 23, 59. Prime factorization of 88205 in exponential form is:

88205 = 5¹ × 13¹ × 23¹ × 59¹

Step-2: Prime Factorization of 88211

Prime factors of 88211 are 88211. Prime factorization of 88211 in exponential form is:

88211 = 88211¹

Step-3: Factors of 88205

List of positive integer factors of 88205 that divides 88205 without a remainder.

1, 5, 13, 23, 59, 65, 115, 295, 299, 767, 1357, 1495, 3835, 6785, 17641

Step-4: Factors of 88211

List of positive integer factors of 88211 that divides 88205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88205 and 88211. The biggest common factor number is the GCF number.
So the greatest common factor 88205 and 88211 is 1.

Also check out the Least Common Multiple of 88205 and 88211