What is the Greatest Common Factor of 45229 and 45235?

Greatest common factor (GCF) of 45229 and 45235 is 1.

GCF(45229,45235) = 1

We will now calculate the prime factors of 45229 and 45235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45229 and 45235.

How to find the GCF of 45229 and 45235?

We will first find the prime factorization of 45229 and 45235. After we will calculate the factors of 45229 and 45235 and find the biggest common factor number .

Step-1: Prime Factorization of 45229

Prime factors of 45229 are 31, 1459. Prime factorization of 45229 in exponential form is:

45229 = 31¹ × 1459¹

Step-2: Prime Factorization of 45235

Prime factors of 45235 are 5, 83, 109. Prime factorization of 45235 in exponential form is:

45235 = 5¹ × 83¹ × 109¹

Step-3: Factors of 45229

List of positive integer factors of 45229 that divides 45229 without a remainder.

1, 31, 1459

Step-4: Factors of 45235

List of positive integer factors of 45235 that divides 45229 without a remainder.

1, 5, 83, 109, 415, 545, 9047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45229 and 45235. The biggest common factor number is the GCF number.
So the greatest common factor 45229 and 45235 is 1.

Also check out the Least Common Multiple of 45229 and 45235