What is the Greatest Common Factor of 95431 and 95445?

Greatest common factor (GCF) of 95431 and 95445 is 7.

GCF(95431,95445) = 7

We will now calculate the prime factors of 95431 and 95445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95431 and 95445.

How to find the GCF of 95431 and 95445?

We will first find the prime factorization of 95431 and 95445. After we will calculate the factors of 95431 and 95445 and find the biggest common factor number .

Step-1: Prime Factorization of 95431

Prime factors of 95431 are 7, 13633. Prime factorization of 95431 in exponential form is:

95431 = 7¹ × 13633¹

Step-2: Prime Factorization of 95445

Prime factors of 95445 are 3, 5, 7, 101. Prime factorization of 95445 in exponential form is:

95445 = 3³ × 5¹ × 7¹ × 101¹

Step-3: Factors of 95431

List of positive integer factors of 95431 that divides 95431 without a remainder.

1, 7, 13633

Step-4: Factors of 95445

List of positive integer factors of 95445 that divides 95431 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 101, 105, 135, 189, 303, 315, 505, 707, 909, 945, 1515, 2121, 2727, 3535, 4545, 6363, 10605, 13635, 19089, 31815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95431 and 95445. The biggest common factor number is the GCF number.
So the greatest common factor 95431 and 95445 is 7.

Also check out the Least Common Multiple of 95431 and 95445