What is the Greatest Common Factor of 37026 and 37046?

Greatest common factor (GCF) of 37026 and 37046 is 2.

GCF(37026,37046) = 2

We will now calculate the prime factors of 37026 and 37046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37026 and 37046.

How to find the GCF of 37026 and 37046?

We will first find the prime factorization of 37026 and 37046. After we will calculate the factors of 37026 and 37046 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 37046

Prime factors of 37046 are 2, 18523. Prime factorization of 37046 in exponential form is:

37046 = 2¹ × 18523¹

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 37046

List of positive integer factors of 37046 that divides 37026 without a remainder.

1, 2, 18523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37026 and 37046. The biggest common factor number is the GCF number.
So the greatest common factor 37026 and 37046 is 2.

Also check out the Least Common Multiple of 37026 and 37046