What is the Greatest Common Factor of 15762 and 15767?

Greatest common factor (GCF) of 15762 and 15767 is 1.

GCF(15762,15767) = 1

We will now calculate the prime factors of 15762 and 15767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15762 and 15767.

How to find the GCF of 15762 and 15767?

We will first find the prime factorization of 15762 and 15767. After we will calculate the factors of 15762 and 15767 and find the biggest common factor number .

Step-1: Prime Factorization of 15762

Prime factors of 15762 are 2, 3, 37, 71. Prime factorization of 15762 in exponential form is:

15762 = 2¹ × 3¹ × 37¹ × 71¹

Step-2: Prime Factorization of 15767

Prime factors of 15767 are 15767. Prime factorization of 15767 in exponential form is:

15767 = 15767¹

Step-3: Factors of 15762

List of positive integer factors of 15762 that divides 15762 without a remainder.

1, 2, 3, 6, 37, 71, 74, 111, 142, 213, 222, 426, 2627, 5254, 7881

Step-4: Factors of 15767

List of positive integer factors of 15767 that divides 15762 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15762 and 15767. The biggest common factor number is the GCF number.
So the greatest common factor 15762 and 15767 is 1.

Also check out the Least Common Multiple of 15762 and 15767