What is the Greatest Common Factor of 26660 and 26670?

Greatest common factor (GCF) of 26660 and 26670 is 10.

GCF(26660,26670) = 10

We will now calculate the prime factors of 26660 and 26670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26660 and 26670.

How to find the GCF of 26660 and 26670?

We will first find the prime factorization of 26660 and 26670. After we will calculate the factors of 26660 and 26670 and find the biggest common factor number .

Step-1: Prime Factorization of 26660

Prime factors of 26660 are 2, 5, 31, 43. Prime factorization of 26660 in exponential form is:

26660 = 2² × 5¹ × 31¹ × 43¹

Step-2: Prime Factorization of 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 2¹ × 3¹ × 5¹ × 7¹ × 127¹

Step-3: Factors of 26660

List of positive integer factors of 26660 that divides 26660 without a remainder.

1, 2, 4, 5, 10, 20, 31, 43, 62, 86, 124, 155, 172, 215, 310, 430, 620, 860, 1333, 2666, 5332, 6665, 13330

Step-4: Factors of 26670

List of positive integer factors of 26670 that divides 26660 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 127, 210, 254, 381, 635, 762, 889, 1270, 1778, 1905, 2667, 3810, 4445, 5334, 8890, 13335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26660 and 26670. The biggest common factor number is the GCF number.
So the greatest common factor 26660 and 26670 is 10.

Also check out the Least Common Multiple of 26660 and 26670