What is the Greatest Common Factor of 70592 and 70609?

Greatest common factor (GCF) of 70592 and 70609 is 1.

GCF(70592,70609) = 1

We will now calculate the prime factors of 70592 and 70609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70592 and 70609.

How to find the GCF of 70592 and 70609?

We will first find the prime factorization of 70592 and 70609. After we will calculate the factors of 70592 and 70609 and find the biggest common factor number .

Step-1: Prime Factorization of 70592

Prime factors of 70592 are 2, 1103. Prime factorization of 70592 in exponential form is:

70592 = 2⁶ × 1103¹

Step-2: Prime Factorization of 70609

Prime factors of 70609 are 7, 11, 131. Prime factorization of 70609 in exponential form is:

70609 = 7² × 11¹ × 131¹

Step-3: Factors of 70592

List of positive integer factors of 70592 that divides 70592 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1103, 2206, 4412, 8824, 17648, 35296

Step-4: Factors of 70609

List of positive integer factors of 70609 that divides 70592 without a remainder.

1, 7, 11, 49, 77, 131, 539, 917, 1441, 6419, 10087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70592 and 70609. The biggest common factor number is the GCF number.
So the greatest common factor 70592 and 70609 is 1.

Also check out the Least Common Multiple of 70592 and 70609