What is the Greatest Common Factor of 70587 and 70598?

Greatest common factor (GCF) of 70587 and 70598 is 11.

GCF(70587,70598) = 11

We will now calculate the prime factors of 70587 and 70598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70587 and 70598.

How to find the GCF of 70587 and 70598?

We will first find the prime factorization of 70587 and 70598. After we will calculate the factors of 70587 and 70598 and find the biggest common factor number .

Step-1: Prime Factorization of 70587

Prime factors of 70587 are 3, 11, 23, 31. Prime factorization of 70587 in exponential form is:

70587 = 3² × 11¹ × 23¹ × 31¹

Step-2: Prime Factorization of 70598

Prime factors of 70598 are 2, 11, 3209. Prime factorization of 70598 in exponential form is:

70598 = 2¹ × 11¹ × 3209¹

Step-3: Factors of 70587

List of positive integer factors of 70587 that divides 70587 without a remainder.

1, 3, 9, 11, 23, 31, 33, 69, 93, 99, 207, 253, 279, 341, 713, 759, 1023, 2139, 2277, 3069, 6417, 7843, 23529

Step-4: Factors of 70598

List of positive integer factors of 70598 that divides 70587 without a remainder.

1, 2, 11, 22, 3209, 6418, 35299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70587 and 70598. The biggest common factor number is the GCF number.
So the greatest common factor 70587 and 70598 is 11.

Also check out the Least Common Multiple of 70587 and 70598