What is the Greatest Common Factor of 15762 and 15768?

Greatest common factor (GCF) of 15762 and 15768 is 6.

GCF(15762,15768) = 6

We will now calculate the prime factors of 15762 and 15768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15762 and 15768.

How to find the GCF of 15762 and 15768?

We will first find the prime factorization of 15762 and 15768. After we will calculate the factors of 15762 and 15768 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 15768

Prime factors of 15768 are 2, 3, 73. Prime factorization of 15768 in exponential form is:

15768 = 2³ × 3³ × 73¹

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 15768

List of positive integer factors of 15768 that divides 15762 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 108, 146, 216, 219, 292, 438, 584, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 7884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15762 and 15768. The biggest common factor number is the GCF number.
So the greatest common factor 15762 and 15768 is 6.

Also check out the Least Common Multiple of 15762 and 15768