What is the Greatest Common Factor of 1225 and 1235?

Greatest common factor (GCF) of 1225 and 1235 is 5.

GCF(1225,1235) = 5

We will now calculate the prime factors of 1225 and 1235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1225 and 1235.

How to find the GCF of 1225 and 1235?

We will first find the prime factorization of 1225 and 1235. After we will calculate the factors of 1225 and 1235 and find the biggest common factor number .

Step-1: Prime Factorization of 1225

Prime factors of 1225 are 5, 7. Prime factorization of 1225 in exponential form is:

1225 = 5² × 7²

Step-2: Prime Factorization of 1235

Prime factors of 1235 are 5, 13, 19. Prime factorization of 1235 in exponential form is:

1235 = 5¹ × 13¹ × 19¹

Step-3: Factors of 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1, 5, 7, 25, 35, 49, 175, 245

Step-4: Factors of 1235

List of positive integer factors of 1235 that divides 1225 without a remainder.

1, 5, 13, 19, 65, 95, 247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1225 and 1235. The biggest common factor number is the GCF number.
So the greatest common factor 1225 and 1235 is 5.

Also check out the Least Common Multiple of 1225 and 1235