What is the Greatest Common Factor of 95067 and 95074?

Greatest common factor (GCF) of 95067 and 95074 is 7.

GCF(95067,95074) = 7

We will now calculate the prime factors of 95067 and 95074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95067 and 95074.

How to find the GCF of 95067 and 95074?

We will first find the prime factorization of 95067 and 95074. After we will calculate the factors of 95067 and 95074 and find the biggest common factor number .

Step-1: Prime Factorization of 95067

Prime factors of 95067 are 3, 7, 503. Prime factorization of 95067 in exponential form is:

95067 = 3³ × 7¹ × 503¹

Step-2: Prime Factorization of 95074

Prime factors of 95074 are 2, 7, 6791. Prime factorization of 95074 in exponential form is:

95074 = 2¹ × 7¹ × 6791¹

Step-3: Factors of 95067

List of positive integer factors of 95067 that divides 95067 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 503, 1509, 3521, 4527, 10563, 13581, 31689

Step-4: Factors of 95074

List of positive integer factors of 95074 that divides 95067 without a remainder.

1, 2, 7, 14, 6791, 13582, 47537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95067 and 95074. The biggest common factor number is the GCF number.
So the greatest common factor 95067 and 95074 is 7.

Also check out the Least Common Multiple of 95067 and 95074