What is the Greatest Common Factor of 37009 and 37026?

Greatest common factor (GCF) of 37009 and 37026 is 17.

GCF(37009,37026) = 17

We will now calculate the prime factors of 37009 and 37026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37009 and 37026.

How to find the GCF of 37009 and 37026?

We will first find the prime factorization of 37009 and 37026. After we will calculate the factors of 37009 and 37026 and find the biggest common factor number .

Step-1: Prime Factorization of 37009

Prime factors of 37009 are 7, 17, 311. Prime factorization of 37009 in exponential form is:

37009 = 7¹ × 17¹ × 311¹

Step-2: Prime Factorization of 37026

Prime factors of 37026 are 2, 3, 11, 17. Prime factorization of 37026 in exponential form is:

37026 = 2¹ × 3² × 11² × 17¹

Step-3: Factors of 37009

List of positive integer factors of 37009 that divides 37009 without a remainder.

1, 7, 17, 119, 311, 2177, 5287

Step-4: Factors of 37026

List of positive integer factors of 37026 that divides 37009 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 121, 153, 187, 198, 242, 306, 363, 374, 561, 726, 1089, 1122, 1683, 2057, 2178, 3366, 4114, 6171, 12342, 18513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37009 and 37026. The biggest common factor number is the GCF number.
So the greatest common factor 37009 and 37026 is 17.

Also check out the Least Common Multiple of 37009 and 37026