What is the Greatest Common Factor of 26075 and 26082?

Greatest common factor (GCF) of 26075 and 26082 is 7.

GCF(26075,26082) = 7

We will now calculate the prime factors of 26075 and 26082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26075 and 26082.

How to find the GCF of 26075 and 26082?

We will first find the prime factorization of 26075 and 26082. After we will calculate the factors of 26075 and 26082 and find the biggest common factor number .

Step-1: Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 5² × 7¹ × 149¹

Step-2: Prime Factorization of 26082

Prime factors of 26082 are 2, 3, 7, 23. Prime factorization of 26082 in exponential form is:

26082 = 2¹ × 3⁴ × 7¹ × 23¹

Step-3: Factors of 26075

List of positive integer factors of 26075 that divides 26075 without a remainder.

1, 5, 7, 25, 35, 149, 175, 745, 1043, 3725, 5215

Step-4: Factors of 26082

List of positive integer factors of 26082 that divides 26075 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 81, 126, 138, 161, 162, 189, 207, 322, 378, 414, 483, 567, 621, 966, 1134, 1242, 1449, 1863, 2898, 3726, 4347, 8694, 13041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26075 and 26082. The biggest common factor number is the GCF number.
So the greatest common factor 26075 and 26082 is 7.

Also check out the Least Common Multiple of 26075 and 26082