What is the Greatest Common Factor of 95069 and 95082?

Greatest common factor (GCF) of 95069 and 95082 is 13.

GCF(95069,95082) = 13

We will now calculate the prime factors of 95069 and 95082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95069 and 95082.

How to find the GCF of 95069 and 95082?

We will first find the prime factorization of 95069 and 95082. After we will calculate the factors of 95069 and 95082 and find the biggest common factor number .

Step-1: Prime Factorization of 95069

Prime factors of 95069 are 13, 71, 103. Prime factorization of 95069 in exponential form is:

95069 = 13¹ × 71¹ × 103¹

Step-2: Prime Factorization of 95082

Prime factors of 95082 are 2, 3, 13, 23, 53. Prime factorization of 95082 in exponential form is:

95082 = 2¹ × 3¹ × 13¹ × 23¹ × 53¹

Step-3: Factors of 95069

List of positive integer factors of 95069 that divides 95069 without a remainder.

1, 13, 71, 103, 923, 1339, 7313

Step-4: Factors of 95082

List of positive integer factors of 95082 that divides 95069 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 53, 69, 78, 106, 138, 159, 299, 318, 598, 689, 897, 1219, 1378, 1794, 2067, 2438, 3657, 4134, 7314, 15847, 31694, 47541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95069 and 95082. The biggest common factor number is the GCF number.
So the greatest common factor 95069 and 95082 is 13.

Also check out the Least Common Multiple of 95069 and 95082