What is the Greatest Common Factor of 61510 and 61525?

Greatest common factor (GCF) of 61510 and 61525 is 5.

GCF(61510,61525) = 5

We will now calculate the prime factors of 61510 and 61525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61510 and 61525.

How to find the GCF of 61510 and 61525?

We will first find the prime factorization of 61510 and 61525. After we will calculate the factors of 61510 and 61525 and find the biggest common factor number .

Step-1: Prime Factorization of 61510

Prime factors of 61510 are 2, 5, 6151. Prime factorization of 61510 in exponential form is:

61510 = 2¹ × 5¹ × 6151¹

Step-2: 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-3: Factors of 61510

List of positive integer factors of 61510 that divides 61510 without a remainder.

1, 2, 5, 10, 6151, 12302, 30755

Step-4: Factors of 61525

List of positive integer factors of 61525 that divides 61510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61510 and 61525. The biggest common factor number is the GCF number.
So the greatest common factor 61510 and 61525 is 5.

Also check out the Least Common Multiple of 61510 and 61525