What is the Greatest Common Factor of 70575 and 70587?

Greatest common factor (GCF) of 70575 and 70587 is 3.

GCF(70575,70587) = 3

We will now calculate the prime factors of 70575 and 70587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70575 and 70587.

How to find the GCF of 70575 and 70587?

We will first find the prime factorization of 70575 and 70587. After we will calculate the factors of 70575 and 70587 and find the biggest common factor number .

Step-1: Prime Factorization of 70575

Prime factors of 70575 are 3, 5, 941. Prime factorization of 70575 in exponential form is:

70575 = 3¹ × 5² × 941¹

Step-2: 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-3: Factors of 70575

List of positive integer factors of 70575 that divides 70575 without a remainder.

1, 3, 5, 15, 25, 75, 941, 2823, 4705, 14115, 23525

Step-4: Factors of 70587

List of positive integer factors of 70587 that divides 70575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70575 and 70587. The biggest common factor number is the GCF number.
So the greatest common factor 70575 and 70587 is 3.

Also check out the Least Common Multiple of 70575 and 70587