What is the Greatest Common Factor of 95948 and 95965?

Greatest common factor (GCF) of 95948 and 95965 is 17.

GCF(95948,95965) = 17

We will now calculate the prime factors of 95948 and 95965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95948 and 95965.

How to find the GCF of 95948 and 95965?

We will first find the prime factorization of 95948 and 95965. After we will calculate the factors of 95948 and 95965 and find the biggest common factor number .

Step-1: Prime Factorization of 95948

Prime factors of 95948 are 2, 17, 83. Prime factorization of 95948 in exponential form is:

95948 = 2² × 17² × 83¹

Step-2: Prime Factorization of 95965

Prime factors of 95965 are 5, 17, 1129. Prime factorization of 95965 in exponential form is:

95965 = 5¹ × 17¹ × 1129¹

Step-3: Factors of 95948

List of positive integer factors of 95948 that divides 95948 without a remainder.

1, 2, 4, 17, 34, 68, 83, 166, 289, 332, 578, 1156, 1411, 2822, 5644, 23987, 47974

Step-4: Factors of 95965

List of positive integer factors of 95965 that divides 95948 without a remainder.

1, 5, 17, 85, 1129, 5645, 19193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95948 and 95965. The biggest common factor number is the GCF number.
So the greatest common factor 95948 and 95965 is 17.

Also check out the Least Common Multiple of 95948 and 95965