What is the Greatest Common Factor of 26200 and 26220?

Greatest common factor (GCF) of 26200 and 26220 is 20.

GCF(26200,26220) = 20

We will now calculate the prime factors of 26200 and 26220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26200 and 26220.

How to find the GCF of 26200 and 26220?

We will first find the prime factorization of 26200 and 26220. After we will calculate the factors of 26200 and 26220 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 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 2² × 3¹ × 5¹ × 19¹ × 23¹

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 26220

List of positive integer factors of 26220 that divides 26200 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57, 60, 69, 76, 92, 95, 114, 115, 138, 190, 228, 230, 276, 285, 345, 380, 437, 460, 570, 690, 874, 1140, 1311, 1380, 1748, 2185, 2622, 4370, 5244, 6555, 8740, 13110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26200 and 26220. The biggest common factor number is the GCF number.
So the greatest common factor 26200 and 26220 is 20.

Also check out the Least Common Multiple of 26200 and 26220