What is the Greatest Common Factor of 69415 and 69435?

Greatest common factor (GCF) of 69415 and 69435 is 5.

GCF(69415,69435) = 5

We will now calculate the prime factors of 69415 and 69435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69415 and 69435.

How to find the GCF of 69415 and 69435?

We will first find the prime factorization of 69415 and 69435. After we will calculate the factors of 69415 and 69435 and find the biggest common factor number .

Step-1: Prime Factorization of 69415

Prime factors of 69415 are 5, 13883. Prime factorization of 69415 in exponential form is:

69415 = 5¹ × 13883¹

Step-2: 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-3: Factors of 69415

List of positive integer factors of 69415 that divides 69415 without a remainder.

1, 5, 13883

Step-4: Factors of 69435

List of positive integer factors of 69435 that divides 69415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69415 and 69435. The biggest common factor number is the GCF number.
So the greatest common factor 69415 and 69435 is 5.

Also check out the Least Common Multiple of 69415 and 69435