What is the Greatest Common Factor of 36026 and 36046?

Greatest common factor (GCF) of 36026 and 36046 is 2.

GCF(36026,36046) = 2

We will now calculate the prime factors of 36026 and 36046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36026 and 36046.

How to find the GCF of 36026 and 36046?

We will first find the prime factorization of 36026 and 36046. After we will calculate the factors of 36026 and 36046 and find the biggest common factor number .

Step-1: Prime Factorization of 36026

Prime factors of 36026 are 2, 18013. Prime factorization of 36026 in exponential form is:

36026 = 2¹ × 18013¹

Step-2: Prime Factorization of 36046

Prime factors of 36046 are 2, 67, 269. Prime factorization of 36046 in exponential form is:

36046 = 2¹ × 67¹ × 269¹

Step-3: Factors of 36026

List of positive integer factors of 36026 that divides 36026 without a remainder.

1, 2, 18013

Step-4: Factors of 36046

List of positive integer factors of 36046 that divides 36026 without a remainder.

1, 2, 67, 134, 269, 538, 18023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36026 and 36046. The biggest common factor number is the GCF number.
So the greatest common factor 36026 and 36046 is 2.

Also check out the Least Common Multiple of 36026 and 36046