What is the Greatest Common Factor of 37014 and 37026?

Greatest common factor (GCF) of 37014 and 37026 is 6.

GCF(37014,37026) = 6

We will now calculate the prime factors of 37014 and 37026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37014 and 37026.

How to find the GCF of 37014 and 37026?

We will first find the prime factorization of 37014 and 37026. After we will calculate the factors of 37014 and 37026 and find the biggest common factor number .

Step-1: Prime Factorization of 37014

Prime factors of 37014 are 2, 3, 31, 199. Prime factorization of 37014 in exponential form is:

37014 = 2¹ × 3¹ × 31¹ × 199¹

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 37014

List of positive integer factors of 37014 that divides 37014 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507

Step-4: Factors of 37026

List of positive integer factors of 37026 that divides 37014 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 37014 and 37026. The biggest common factor number is the GCF number.
So the greatest common factor 37014 and 37026 is 6.

Also check out the Least Common Multiple of 37014 and 37026