What is the Greatest Common Factor of 95492 and 95509?

Greatest common factor (GCF) of 95492 and 95509 is 1.

GCF(95492,95509) = 1

We will now calculate the prime factors of 95492 and 95509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95492 and 95509.

How to find the GCF of 95492 and 95509?

We will first find the prime factorization of 95492 and 95509. After we will calculate the factors of 95492 and 95509 and find the biggest common factor number .

Step-1: Prime Factorization of 95492

Prime factors of 95492 are 2, 23873. Prime factorization of 95492 in exponential form is:

95492 = 2² × 23873¹

Step-2: Prime Factorization of 95509

Prime factors of 95509 are 149, 641. Prime factorization of 95509 in exponential form is:

95509 = 149¹ × 641¹

Step-3: Factors of 95492

List of positive integer factors of 95492 that divides 95492 without a remainder.

1, 2, 4, 23873, 47746

Step-4: Factors of 95509

List of positive integer factors of 95509 that divides 95492 without a remainder.

1, 149, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95492 and 95509. The biggest common factor number is the GCF number.
So the greatest common factor 95492 and 95509 is 1.

Also check out the Least Common Multiple of 95492 and 95509