What is the Greatest Common Factor of 69104 and 69116?

Greatest common factor (GCF) of 69104 and 69116 is 4.

GCF(69104,69116) = 4

We will now calculate the prime factors of 69104 and 69116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69104 and 69116.

How to find the GCF of 69104 and 69116?

We will first find the prime factorization of 69104 and 69116. After we will calculate the factors of 69104 and 69116 and find the biggest common factor number .

Step-1: Prime Factorization of 69104

Prime factors of 69104 are 2, 7, 617. Prime factorization of 69104 in exponential form is:

69104 = 2⁴ × 7¹ × 617¹

Step-2: Prime Factorization of 69116

Prime factors of 69116 are 2, 37, 467. Prime factorization of 69116 in exponential form is:

69116 = 2² × 37¹ × 467¹

Step-3: Factors of 69104

List of positive integer factors of 69104 that divides 69104 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 617, 1234, 2468, 4319, 4936, 8638, 9872, 17276, 34552

Step-4: Factors of 69116

List of positive integer factors of 69116 that divides 69104 without a remainder.

1, 2, 4, 37, 74, 148, 467, 934, 1868, 17279, 34558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69104 and 69116. The biggest common factor number is the GCF number.
So the greatest common factor 69104 and 69116 is 4.

Also check out the Least Common Multiple of 69104 and 69116