What is the Greatest Common Factor of 69646 and 69665?

Greatest common factor (GCF) of 69646 and 69665 is 1.

GCF(69646,69665) = 1

We will now calculate the prime factors of 69646 and 69665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69646 and 69665.

How to find the GCF of 69646 and 69665?

We will first find the prime factorization of 69646 and 69665. After we will calculate the factors of 69646 and 69665 and find the biggest common factor number .

Step-1: Prime Factorization of 69646

Prime factors of 69646 are 2, 97, 359. Prime factorization of 69646 in exponential form is:

69646 = 2¹ × 97¹ × 359¹

Step-2: Prime Factorization of 69665

Prime factors of 69665 are 5, 13933. Prime factorization of 69665 in exponential form is:

69665 = 5¹ × 13933¹

Step-3: Factors of 69646

List of positive integer factors of 69646 that divides 69646 without a remainder.

1, 2, 97, 194, 359, 718, 34823

Step-4: Factors of 69665

List of positive integer factors of 69665 that divides 69646 without a remainder.

1, 5, 13933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69646 and 69665. The biggest common factor number is the GCF number.
So the greatest common factor 69646 and 69665 is 1.

Also check out the Least Common Multiple of 69646 and 69665