What is the Greatest Common Factor of 61525 and 61545?

Greatest common factor (GCF) of 61525 and 61545 is 5.

GCF(61525,61545) = 5

We will now calculate the prime factors of 61525 and 61545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61525 and 61545.

How to find the GCF of 61525 and 61545?

We will first find the prime factorization of 61525 and 61545. After we will calculate the factors of 61525 and 61545 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 61545

Prime factors of 61545 are 3, 5, 11, 373. Prime factorization of 61545 in exponential form is:

61545 = 3¹ × 5¹ × 11¹ × 373¹

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 61545

List of positive integer factors of 61545 that divides 61525 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 373, 1119, 1865, 4103, 5595, 12309, 20515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61525 and 61545. The biggest common factor number is the GCF number.
So the greatest common factor 61525 and 61545 is 5.

Also check out the Least Common Multiple of 61525 and 61545