What is the Greatest Common Factor of 37748 and 37758?

Greatest common factor (GCF) of 37748 and 37758 is 2.

GCF(37748,37758) = 2

We will now calculate the prime factors of 37748 and 37758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37748 and 37758.

How to find the GCF of 37748 and 37758?

We will first find the prime factorization of 37748 and 37758. After we will calculate the factors of 37748 and 37758 and find the biggest common factor number .

Step-1: Prime Factorization of 37748

Prime factors of 37748 are 2, 9437. Prime factorization of 37748 in exponential form is:

37748 = 2² × 9437¹

Step-2: Prime Factorization of 37758

Prime factors of 37758 are 2, 3, 7, 29, 31. Prime factorization of 37758 in exponential form is:

37758 = 2¹ × 3¹ × 7¹ × 29¹ × 31¹

Step-3: Factors of 37748

List of positive integer factors of 37748 that divides 37748 without a remainder.

1, 2, 4, 9437, 18874

Step-4: Factors of 37758

List of positive integer factors of 37758 that divides 37748 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 31, 42, 58, 62, 87, 93, 174, 186, 203, 217, 406, 434, 609, 651, 899, 1218, 1302, 1798, 2697, 5394, 6293, 12586, 18879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37748 and 37758. The biggest common factor number is the GCF number.
So the greatest common factor 37748 and 37758 is 2.

Also check out the Least Common Multiple of 37748 and 37758