What is the Greatest Common Factor of 38740 and 38753?

Greatest common factor (GCF) of 38740 and 38753 is 13.

GCF(38740,38753) = 13

We will now calculate the prime factors of 38740 and 38753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38740 and 38753.

How to find the GCF of 38740 and 38753?

We will first find the prime factorization of 38740 and 38753. After we will calculate the factors of 38740 and 38753 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 38753

Prime factors of 38753 are 11, 13, 271. Prime factorization of 38753 in exponential form is:

38753 = 11¹ × 13¹ × 271¹

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 38753

List of positive integer factors of 38753 that divides 38740 without a remainder.

1, 11, 13, 143, 271, 2981, 3523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38740 and 38753. The biggest common factor number is the GCF number.
So the greatest common factor 38740 and 38753 is 13.

Also check out the Least Common Multiple of 38740 and 38753