What is the Greatest Common Factor of 69435 and 69449?

Greatest common factor (GCF) of 69435 and 69449 is 1.

GCF(69435,69449) = 1

We will now calculate the prime factors of 69435 and 69449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69435 and 69449.

How to find the GCF of 69435 and 69449?

We will first find the prime factorization of 69435 and 69449. After we will calculate the factors of 69435 and 69449 and find the biggest common factor number .

Step-1: Prime Factorization of 69435

Prime factors of 69435 are 3, 5, 1543. Prime factorization of 69435 in exponential form is:

69435 = 3² × 5¹ × 1543¹

Step-2: Prime Factorization of 69449

Prime factors of 69449 are 37, 1877. Prime factorization of 69449 in exponential form is:

69449 = 37¹ × 1877¹

Step-3: Factors of 69435

List of positive integer factors of 69435 that divides 69435 without a remainder.

1, 3, 5, 9, 15, 45, 1543, 4629, 7715, 13887, 23145

Step-4: Factors of 69449

List of positive integer factors of 69449 that divides 69435 without a remainder.

1, 37, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69435 and 69449. The biggest common factor number is the GCF number.
So the greatest common factor 69435 and 69449 is 1.

Also check out the Least Common Multiple of 69435 and 69449