What is the Greatest Common Factor of 61525 and 61531?

Greatest common factor (GCF) of 61525 and 61531 is 1.

GCF(61525,61531) = 1

We will now calculate the prime factors of 61525 and 61531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61525 and 61531.

How to find the GCF of 61525 and 61531?

We will first find the prime factorization of 61525 and 61531. After we will calculate the factors of 61525 and 61531 and find the biggest common factor number .

Step-1: Prime Factorization of 61525

Prime factors of 61525 are 5, 23, 107. Prime factorization of 61525 in exponential form is:

61525 = 5² × 23¹ × 107¹

Step-2: Prime Factorization of 61531

Prime factors of 61531 are 37, 1663. Prime factorization of 61531 in exponential form is:

61531 = 37¹ × 1663¹

Step-3: Factors of 61525

List of positive integer factors of 61525 that divides 61525 without a remainder.

1, 5, 23, 25, 107, 115, 535, 575, 2461, 2675, 12305

Step-4: Factors of 61531

List of positive integer factors of 61531 that divides 61525 without a remainder.

1, 37, 1663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61525 and 61531. The biggest common factor number is the GCF number.
So the greatest common factor 61525 and 61531 is 1.

Also check out the Least Common Multiple of 61525 and 61531