What is the Greatest Common Factor of 15962 and 15968?

Greatest common factor (GCF) of 15962 and 15968 is 2.

GCF(15962,15968) = 2

We will now calculate the prime factors of 15962 and 15968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15962 and 15968.

How to find the GCF of 15962 and 15968?

We will first find the prime factorization of 15962 and 15968. After we will calculate the factors of 15962 and 15968 and find the biggest common factor number .

Step-1: Prime Factorization of 15962

Prime factors of 15962 are 2, 23, 347. Prime factorization of 15962 in exponential form is:

15962 = 2¹ × 23¹ × 347¹

Step-2: Prime Factorization of 15968

Prime factors of 15968 are 2, 499. Prime factorization of 15968 in exponential form is:

15968 = 2⁵ × 499¹

Step-3: Factors of 15962

List of positive integer factors of 15962 that divides 15962 without a remainder.

1, 2, 23, 46, 347, 694, 7981

Step-4: Factors of 15968

List of positive integer factors of 15968 that divides 15962 without a remainder.

1, 2, 4, 8, 16, 32, 499, 998, 1996, 3992, 7984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15962 and 15968. The biggest common factor number is the GCF number.
So the greatest common factor 15962 and 15968 is 2.

Also check out the Least Common Multiple of 15962 and 15968