What is the Greatest Common Factor of 37053 and 37068?

Greatest common factor (GCF) of 37053 and 37068 is 3.

GCF(37053,37068) = 3

We will now calculate the prime factors of 37053 and 37068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37053 and 37068.

How to find the GCF of 37053 and 37068?

We will first find the prime factorization of 37053 and 37068. After we will calculate the factors of 37053 and 37068 and find the biggest common factor number .

Step-1: Prime Factorization of 37053

Prime factors of 37053 are 3, 23, 179. Prime factorization of 37053 in exponential form is:

37053 = 3² × 23¹ × 179¹

Step-2: Prime Factorization of 37068

Prime factors of 37068 are 2, 3, 3089. Prime factorization of 37068 in exponential form is:

37068 = 2² × 3¹ × 3089¹

Step-3: Factors of 37053

List of positive integer factors of 37053 that divides 37053 without a remainder.

1, 3, 9, 23, 69, 179, 207, 537, 1611, 4117, 12351

Step-4: Factors of 37068

List of positive integer factors of 37068 that divides 37053 without a remainder.

1, 2, 3, 4, 6, 12, 3089, 6178, 9267, 12356, 18534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37053 and 37068. The biggest common factor number is the GCF number.
So the greatest common factor 37053 and 37068 is 3.

Also check out the Least Common Multiple of 37053 and 37068