What is the Greatest Common Factor of 26185 and 26200?

Greatest common factor (GCF) of 26185 and 26200 is 5.

GCF(26185,26200) = 5

We will now calculate the prime factors of 26185 and 26200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26185 and 26200.

How to find the GCF of 26185 and 26200?

We will first find the prime factorization of 26185 and 26200. After we will calculate the factors of 26185 and 26200 and find the biggest common factor number .

Step-1: Prime Factorization of 26185

Prime factors of 26185 are 5, 5237. Prime factorization of 26185 in exponential form is:

26185 = 5¹ × 5237¹

Step-2: Prime Factorization of 26200

Prime factors of 26200 are 2, 5, 131. Prime factorization of 26200 in exponential form is:

26200 = 2³ × 5² × 131¹

Step-3: Factors of 26185

List of positive integer factors of 26185 that divides 26185 without a remainder.

1, 5, 5237

Step-4: Factors of 26200

List of positive integer factors of 26200 that divides 26185 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 131, 200, 262, 524, 655, 1048, 1310, 2620, 3275, 5240, 6550, 13100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26185 and 26200. The biggest common factor number is the GCF number.
So the greatest common factor 26185 and 26200 is 5.

Also check out the Least Common Multiple of 26185 and 26200