What is the Greatest Common Factor of 38525 and 38542?

Greatest common factor (GCF) of 38525 and 38542 is 1.

GCF(38525,38542) = 1

We will now calculate the prime factors of 38525 and 38542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38525 and 38542.

How to find the GCF of 38525 and 38542?

We will first find the prime factorization of 38525 and 38542. After we will calculate the factors of 38525 and 38542 and find the biggest common factor number .

Step-1: Prime Factorization of 38525

Prime factors of 38525 are 5, 23, 67. Prime factorization of 38525 in exponential form is:

38525 = 5² × 23¹ × 67¹

Step-2: Prime Factorization of 38542

Prime factors of 38542 are 2, 7, 2753. Prime factorization of 38542 in exponential form is:

38542 = 2¹ × 7¹ × 2753¹

Step-3: Factors of 38525

List of positive integer factors of 38525 that divides 38525 without a remainder.

1, 5, 23, 25, 67, 115, 335, 575, 1541, 1675, 7705

Step-4: Factors of 38542

List of positive integer factors of 38542 that divides 38525 without a remainder.

1, 2, 7, 14, 2753, 5506, 19271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38525 and 38542. The biggest common factor number is the GCF number.
So the greatest common factor 38525 and 38542 is 1.

Also check out the Least Common Multiple of 38525 and 38542