What is the Greatest Common Factor of 69628 and 69644?

Greatest common factor (GCF) of 69628 and 69644 is 4.

GCF(69628,69644) = 4

We will now calculate the prime factors of 69628 and 69644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69628 and 69644.

How to find the GCF of 69628 and 69644?

We will first find the prime factorization of 69628 and 69644. After we will calculate the factors of 69628 and 69644 and find the biggest common factor number .

Step-1: Prime Factorization of 69628

Prime factors of 69628 are 2, 13, 103. Prime factorization of 69628 in exponential form is:

69628 = 2² × 13² × 103¹

Step-2: Prime Factorization of 69644

Prime factors of 69644 are 2, 23, 757. Prime factorization of 69644 in exponential form is:

69644 = 2² × 23¹ × 757¹

Step-3: Factors of 69628

List of positive integer factors of 69628 that divides 69628 without a remainder.

1, 2, 4, 13, 26, 52, 103, 169, 206, 338, 412, 676, 1339, 2678, 5356, 17407, 34814

Step-4: Factors of 69644

List of positive integer factors of 69644 that divides 69628 without a remainder.

1, 2, 4, 23, 46, 92, 757, 1514, 3028, 17411, 34822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69628 and 69644. The biggest common factor number is the GCF number.
So the greatest common factor 69628 and 69644 is 4.

Also check out the Least Common Multiple of 69628 and 69644