What is the Greatest Common Factor of 15762 and 15776?

Greatest common factor (GCF) of 15762 and 15776 is 2.

GCF(15762,15776) = 2

We will now calculate the prime factors of 15762 and 15776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15762 and 15776.

How to find the GCF of 15762 and 15776?

We will first find the prime factorization of 15762 and 15776. After we will calculate the factors of 15762 and 15776 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 15776

Prime factors of 15776 are 2, 17, 29. Prime factorization of 15776 in exponential form is:

15776 = 2⁵ × 17¹ × 29¹

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 15776

List of positive integer factors of 15776 that divides 15762 without a remainder.

1, 2, 4, 8, 16, 17, 29, 32, 34, 58, 68, 116, 136, 232, 272, 464, 493, 544, 928, 986, 1972, 3944, 7888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15762 and 15776. The biggest common factor number is the GCF number.
So the greatest common factor 15762 and 15776 is 2.

Also check out the Least Common Multiple of 15762 and 15776