What is the Greatest Common Factor of 69616 and 69628?

Greatest common factor (GCF) of 69616 and 69628 is 4.

GCF(69616,69628) = 4

We will now calculate the prime factors of 69616 and 69628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69616 and 69628.

How to find the GCF of 69616 and 69628?

We will first find the prime factorization of 69616 and 69628. After we will calculate the factors of 69616 and 69628 and find the biggest common factor number .

Step-1: Prime Factorization of 69616

Prime factors of 69616 are 2, 19, 229. Prime factorization of 69616 in exponential form is:

69616 = 2⁴ × 19¹ × 229¹

Step-2: 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-3: Factors of 69616

List of positive integer factors of 69616 that divides 69616 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 229, 304, 458, 916, 1832, 3664, 4351, 8702, 17404, 34808

Step-4: Factors of 69628

List of positive integer factors of 69628 that divides 69616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69616 and 69628. The biggest common factor number is the GCF number.
So the greatest common factor 69616 and 69628 is 4.

Also check out the Least Common Multiple of 69616 and 69628