What is the Greatest Common Factor of 70505 and 70515?

Greatest common factor (GCF) of 70505 and 70515 is 5.

GCF(70505,70515) = 5

We will now calculate the prime factors of 70505 and 70515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70505 and 70515.

How to find the GCF of 70505 and 70515?

We will first find the prime factorization of 70505 and 70515. After we will calculate the factors of 70505 and 70515 and find the biggest common factor number .

Step-1: Prime Factorization of 70505

Prime factors of 70505 are 5, 59, 239. Prime factorization of 70505 in exponential form is:

70505 = 5¹ × 59¹ × 239¹

Step-2: Prime Factorization of 70515

Prime factors of 70515 are 3, 5, 1567. Prime factorization of 70515 in exponential form is:

70515 = 3² × 5¹ × 1567¹

Step-3: Factors of 70505

List of positive integer factors of 70505 that divides 70505 without a remainder.

1, 5, 59, 239, 295, 1195, 14101

Step-4: Factors of 70515

List of positive integer factors of 70515 that divides 70505 without a remainder.

1, 3, 5, 9, 15, 45, 1567, 4701, 7835, 14103, 23505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70505 and 70515. The biggest common factor number is the GCF number.
So the greatest common factor 70505 and 70515 is 5.

Also check out the Least Common Multiple of 70505 and 70515