What is the Greatest Common Factor of 26072 and 26082?

Greatest common factor (GCF) of 26072 and 26082 is 2.

GCF(26072,26082) = 2

We will now calculate the prime factors of 26072 and 26082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26072 and 26082.

How to find the GCF of 26072 and 26082?

We will first find the prime factorization of 26072 and 26082. After we will calculate the factors of 26072 and 26082 and find the biggest common factor number .

Step-1: Prime Factorization of 26072

Prime factors of 26072 are 2, 3259. Prime factorization of 26072 in exponential form is:

26072 = 2³ × 3259¹

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 26072

List of positive integer factors of 26072 that divides 26072 without a remainder.

1, 2, 4, 8, 3259, 6518, 13036

Step-4: Factors of 26082

List of positive integer factors of 26082 that divides 26072 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 26072 and 26082. The biggest common factor number is the GCF number.
So the greatest common factor 26072 and 26082 is 2.

Also check out the Least Common Multiple of 26072 and 26082