What is the Greatest Common Factor of 61225 and 61235?

Greatest common factor (GCF) of 61225 and 61235 is 5.

GCF(61225,61235) = 5

We will now calculate the prime factors of 61225 and 61235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61225 and 61235.

How to find the GCF of 61225 and 61235?

We will first find the prime factorization of 61225 and 61235. After we will calculate the factors of 61225 and 61235 and find the biggest common factor number .

Step-1: Prime Factorization of 61225

Prime factors of 61225 are 5, 31, 79. Prime factorization of 61225 in exponential form is:

61225 = 5² × 31¹ × 79¹

Step-2: Prime Factorization of 61235

Prime factors of 61235 are 5, 37, 331. Prime factorization of 61235 in exponential form is:

61235 = 5¹ × 37¹ × 331¹

Step-3: Factors of 61225

List of positive integer factors of 61225 that divides 61225 without a remainder.

1, 5, 25, 31, 79, 155, 395, 775, 1975, 2449, 12245

Step-4: Factors of 61235

List of positive integer factors of 61235 that divides 61225 without a remainder.

1, 5, 37, 185, 331, 1655, 12247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61225 and 61235. The biggest common factor number is the GCF number.
So the greatest common factor 61225 and 61235 is 5.

Also check out the Least Common Multiple of 61225 and 61235