What is the Greatest Common Factor of 26200 and 26210?

Greatest common factor (GCF) of 26200 and 26210 is 10.

GCF(26200,26210) = 10

We will now calculate the prime factors of 26200 and 26210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26200 and 26210.

How to find the GCF of 26200 and 26210?

We will first find the prime factorization of 26200 and 26210. After we will calculate the factors of 26200 and 26210 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26210

Prime factors of 26210 are 2, 5, 2621. Prime factorization of 26210 in exponential form is:

26210 = 2¹ × 5¹ × 2621¹

Step-3: Factors of 26200

List of positive integer factors of 26200 that divides 26200 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

Step-4: Factors of 26210

List of positive integer factors of 26210 that divides 26200 without a remainder.

1, 2, 5, 10, 2621, 5242, 13105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26200 and 26210. The biggest common factor number is the GCF number.
So the greatest common factor 26200 and 26210 is 10.

Also check out the Least Common Multiple of 26200 and 26210