What is the Greatest Common Factor of 95031 and 95046?

Greatest common factor (GCF) of 95031 and 95046 is 3.

GCF(95031,95046) = 3

We will now calculate the prime factors of 95031 and 95046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95031 and 95046.

How to find the GCF of 95031 and 95046?

We will first find the prime factorization of 95031 and 95046. After we will calculate the factors of 95031 and 95046 and find the biggest common factor number .

Step-1: Prime Factorization of 95031

Prime factors of 95031 are 3, 10559. Prime factorization of 95031 in exponential form is:

95031 = 3² × 10559¹

Step-2: Prime Factorization of 95046

Prime factors of 95046 are 2, 3, 7, 31, 73. Prime factorization of 95046 in exponential form is:

95046 = 2¹ × 3¹ × 7¹ × 31¹ × 73¹

Step-3: Factors of 95031

List of positive integer factors of 95031 that divides 95031 without a remainder.

1, 3, 9, 10559, 31677

Step-4: Factors of 95046

List of positive integer factors of 95046 that divides 95031 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 73, 93, 146, 186, 217, 219, 434, 438, 511, 651, 1022, 1302, 1533, 2263, 3066, 4526, 6789, 13578, 15841, 31682, 47523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95031 and 95046. The biggest common factor number is the GCF number.
So the greatest common factor 95031 and 95046 is 3.

Also check out the Least Common Multiple of 95031 and 95046