What is the Greatest Common Factor of 15740 and 15755?

Greatest common factor (GCF) of 15740 and 15755 is 5.

GCF(15740,15755) = 5

We will now calculate the prime factors of 15740 and 15755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15740 and 15755.

How to find the GCF of 15740 and 15755?

We will first find the prime factorization of 15740 and 15755. After we will calculate the factors of 15740 and 15755 and find the biggest common factor number .

Step-1: Prime Factorization of 15740

Prime factors of 15740 are 2, 5, 787. Prime factorization of 15740 in exponential form is:

15740 = 2² × 5¹ × 787¹

Step-2: Prime Factorization of 15755

Prime factors of 15755 are 5, 23, 137. Prime factorization of 15755 in exponential form is:

15755 = 5¹ × 23¹ × 137¹

Step-3: Factors of 15740

List of positive integer factors of 15740 that divides 15740 without a remainder.

1, 2, 4, 5, 10, 20, 787, 1574, 3148, 3935, 7870

Step-4: Factors of 15755

List of positive integer factors of 15755 that divides 15740 without a remainder.

1, 5, 23, 115, 137, 685, 3151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15740 and 15755. The biggest common factor number is the GCF number.
So the greatest common factor 15740 and 15755 is 5.

Also check out the Least Common Multiple of 15740 and 15755