What is the Greatest Common Factor of 95956 and 95963?

Greatest common factor (GCF) of 95956 and 95963 is 7.

GCF(95956,95963) = 7

We will now calculate the prime factors of 95956 and 95963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95956 and 95963.

How to find the GCF of 95956 and 95963?

We will first find the prime factorization of 95956 and 95963. After we will calculate the factors of 95956 and 95963 and find the biggest common factor number .

Step-1: Prime Factorization of 95956

Prime factors of 95956 are 2, 7, 23, 149. Prime factorization of 95956 in exponential form is:

95956 = 2² × 7¹ × 23¹ × 149¹

Step-2: Prime Factorization of 95963

Prime factors of 95963 are 7, 13709. Prime factorization of 95963 in exponential form is:

95963 = 7¹ × 13709¹

Step-3: Factors of 95956

List of positive integer factors of 95956 that divides 95956 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 149, 161, 298, 322, 596, 644, 1043, 2086, 3427, 4172, 6854, 13708, 23989, 47978

Step-4: Factors of 95963

List of positive integer factors of 95963 that divides 95956 without a remainder.

1, 7, 13709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95956 and 95963. The biggest common factor number is the GCF number.
So the greatest common factor 95956 and 95963 is 7.

Also check out the Least Common Multiple of 95956 and 95963