What is the Greatest Common Factor of 37026 and 37043?

Greatest common factor (GCF) of 37026 and 37043 is 17.

GCF(37026,37043) = 17

We will now calculate the prime factors of 37026 and 37043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37026 and 37043.

How to find the GCF of 37026 and 37043?

We will first find the prime factorization of 37026 and 37043. After we will calculate the factors of 37026 and 37043 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37043

Prime factors of 37043 are 17, 2179. Prime factorization of 37043 in exponential form is:

37043 = 17¹ × 2179¹

Step-3: Factors of 37026

List of positive integer factors of 37026 that divides 37026 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

Step-4: Factors of 37043

List of positive integer factors of 37043 that divides 37026 without a remainder.

1, 17, 2179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37026 and 37043. The biggest common factor number is the GCF number.
So the greatest common factor 37026 and 37043 is 17.

Also check out the Least Common Multiple of 37026 and 37043