What is the Greatest Common Factor of 70575 and 70584?

Greatest common factor (GCF) of 70575 and 70584 is 3.

GCF(70575,70584) = 3

We will now calculate the prime factors of 70575 and 70584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70575 and 70584.

How to find the GCF of 70575 and 70584?

We will first find the prime factorization of 70575 and 70584. After we will calculate the factors of 70575 and 70584 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 70584

Prime factors of 70584 are 2, 3, 17, 173. Prime factorization of 70584 in exponential form is:

70584 = 2³ × 3¹ × 17¹ × 173¹

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 70584

List of positive integer factors of 70584 that divides 70575 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 173, 204, 346, 408, 519, 692, 1038, 1384, 2076, 2941, 4152, 5882, 8823, 11764, 17646, 23528, 35292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70575 and 70584. The biggest common factor number is the GCF number.
So the greatest common factor 70575 and 70584 is 3.

Also check out the Least Common Multiple of 70575 and 70584