What is the Greatest Common Factor of 69640 and 69646?

Greatest common factor (GCF) of 69640 and 69646 is 2.

GCF(69640,69646) = 2

We will now calculate the prime factors of 69640 and 69646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69640 and 69646.

How to find the GCF of 69640 and 69646?

We will first find the prime factorization of 69640 and 69646. After we will calculate the factors of 69640 and 69646 and find the biggest common factor number .

Step-1: Prime Factorization of 69640

Prime factors of 69640 are 2, 5, 1741. Prime factorization of 69640 in exponential form is:

69640 = 2³ × 5¹ × 1741¹

Step-2: 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-3: Factors of 69640

List of positive integer factors of 69640 that divides 69640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1741, 3482, 6964, 8705, 13928, 17410, 34820

Step-4: Factors of 69646

List of positive integer factors of 69646 that divides 69640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69640 and 69646. The biggest common factor number is the GCF number.
So the greatest common factor 69640 and 69646 is 2.

Also check out the Least Common Multiple of 69640 and 69646