What is the Greatest Common Factor of 95020 and 95032?

Greatest common factor (GCF) of 95020 and 95032 is 4.

GCF(95020,95032) = 4

We will now calculate the prime factors of 95020 and 95032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95020 and 95032.

How to find the GCF of 95020 and 95032?

We will first find the prime factorization of 95020 and 95032. After we will calculate the factors of 95020 and 95032 and find the biggest common factor number .

Step-1: Prime Factorization of 95020

Prime factors of 95020 are 2, 5, 4751. Prime factorization of 95020 in exponential form is:

95020 = 2² × 5¹ × 4751¹

Step-2: Prime Factorization of 95032

Prime factors of 95032 are 2, 7, 1697. Prime factorization of 95032 in exponential form is:

95032 = 2³ × 7¹ × 1697¹

Step-3: Factors of 95020

List of positive integer factors of 95020 that divides 95020 without a remainder.

1, 2, 4, 5, 10, 20, 4751, 9502, 19004, 23755, 47510

Step-4: Factors of 95032

List of positive integer factors of 95032 that divides 95020 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1697, 3394, 6788, 11879, 13576, 23758, 47516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95020 and 95032. The biggest common factor number is the GCF number.
So the greatest common factor 95020 and 95032 is 4.

Also check out the Least Common Multiple of 95020 and 95032