What is the Greatest Common Factor of 37026 and 37042?

Greatest common factor (GCF) of 37026 and 37042 is 2.

GCF(37026,37042) = 2

We will now calculate the prime factors of 37026 and 37042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37026 and 37042.

How to find the GCF of 37026 and 37042?

We will first find the prime factorization of 37026 and 37042. After we will calculate the factors of 37026 and 37042 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 37042

Prime factors of 37042 are 2, 18521. Prime factorization of 37042 in exponential form is:

37042 = 2¹ × 18521¹

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 37042

List of positive integer factors of 37042 that divides 37026 without a remainder.

1, 2, 18521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37026 and 37042. The biggest common factor number is the GCF number.
So the greatest common factor 37026 and 37042 is 2.

Also check out the Least Common Multiple of 37026 and 37042