What is the Greatest Common Factor of 95725 and 95742?

Greatest common factor (GCF) of 95725 and 95742 is 1.

GCF(95725,95742) = 1

We will now calculate the prime factors of 95725 and 95742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95725 and 95742.

How to find the GCF of 95725 and 95742?

We will first find the prime factorization of 95725 and 95742. After we will calculate the factors of 95725 and 95742 and find the biggest common factor number .

Step-1: Prime Factorization of 95725

Prime factors of 95725 are 5, 7, 547. Prime factorization of 95725 in exponential form is:

95725 = 5² × 7¹ × 547¹

Step-2: Prime Factorization of 95742

Prime factors of 95742 are 2, 3, 197. Prime factorization of 95742 in exponential form is:

95742 = 2¹ × 3⁵ × 197¹

Step-3: Factors of 95725

List of positive integer factors of 95725 that divides 95725 without a remainder.

1, 5, 7, 25, 35, 175, 547, 2735, 3829, 13675, 19145

Step-4: Factors of 95742

List of positive integer factors of 95742 that divides 95725 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 197, 243, 394, 486, 591, 1182, 1773, 3546, 5319, 10638, 15957, 31914, 47871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95725 and 95742. The biggest common factor number is the GCF number.
So the greatest common factor 95725 and 95742 is 1.

Also check out the Least Common Multiple of 95725 and 95742