What is the Greatest Common Factor of 38740 and 38756?

Greatest common factor (GCF) of 38740 and 38756 is 4.

GCF(38740,38756) = 4

We will now calculate the prime factors of 38740 and 38756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38740 and 38756.

How to find the GCF of 38740 and 38756?

We will first find the prime factorization of 38740 and 38756. After we will calculate the factors of 38740 and 38756 and find the biggest common factor number .

Step-1: Prime Factorization of 38740

Prime factors of 38740 are 2, 5, 13, 149. Prime factorization of 38740 in exponential form is:

38740 = 2² × 5¹ × 13¹ × 149¹

Step-2: Prime Factorization of 38756

Prime factors of 38756 are 2, 9689. Prime factorization of 38756 in exponential form is:

38756 = 2² × 9689¹

Step-3: Factors of 38740

List of positive integer factors of 38740 that divides 38740 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 149, 260, 298, 596, 745, 1490, 1937, 2980, 3874, 7748, 9685, 19370

Step-4: Factors of 38756

List of positive integer factors of 38756 that divides 38740 without a remainder.

1, 2, 4, 9689, 19378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38740 and 38756. The biggest common factor number is the GCF number.
So the greatest common factor 38740 and 38756 is 4.

Also check out the Least Common Multiple of 38740 and 38756