What is the Greatest Common Factor of 95564 and 95584?

Greatest common factor (GCF) of 95564 and 95584 is 4.

GCF(95564,95584) = 4

We will now calculate the prime factors of 95564 and 95584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95564 and 95584.

How to find the GCF of 95564 and 95584?

We will first find the prime factorization of 95564 and 95584. After we will calculate the factors of 95564 and 95584 and find the biggest common factor number .

Step-1: Prime Factorization of 95564

Prime factors of 95564 are 2, 7, 3413. Prime factorization of 95564 in exponential form is:

95564 = 2² × 7¹ × 3413¹

Step-2: Prime Factorization of 95584

Prime factors of 95584 are 2, 29, 103. Prime factorization of 95584 in exponential form is:

95584 = 2⁵ × 29¹ × 103¹

Step-3: Factors of 95564

List of positive integer factors of 95564 that divides 95564 without a remainder.

1, 2, 4, 7, 14, 28, 3413, 6826, 13652, 23891, 47782

Step-4: Factors of 95584

List of positive integer factors of 95584 that divides 95564 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 103, 116, 206, 232, 412, 464, 824, 928, 1648, 2987, 3296, 5974, 11948, 23896, 47792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95564 and 95584. The biggest common factor number is the GCF number.
So the greatest common factor 95564 and 95584 is 4.

Also check out the Least Common Multiple of 95564 and 95584