What is the Greatest Common Factor of 70565 and 70575?

Greatest common factor (GCF) of 70565 and 70575 is 5.

GCF(70565,70575) = 5

We will now calculate the prime factors of 70565 and 70575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70565 and 70575.

How to find the GCF of 70565 and 70575?

We will first find the prime factorization of 70565 and 70575. After we will calculate the factors of 70565 and 70575 and find the biggest common factor number .

Step-1: Prime Factorization of 70565

Prime factors of 70565 are 5, 11, 1283. Prime factorization of 70565 in exponential form is:

70565 = 5¹ × 11¹ × 1283¹

Step-2: 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-3: Factors of 70565

List of positive integer factors of 70565 that divides 70565 without a remainder.

1, 5, 11, 55, 1283, 6415, 14113

Step-4: Factors of 70575

List of positive integer factors of 70575 that divides 70565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70565 and 70575. The biggest common factor number is the GCF number.
So the greatest common factor 70565 and 70575 is 5.

Also check out the Least Common Multiple of 70565 and 70575