What is the Greatest Common Factor of 69104 and 69118?

Greatest common factor (GCF) of 69104 and 69118 is 14.

GCF(69104,69118) = 14

We will now calculate the prime factors of 69104 and 69118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69104 and 69118.

How to find the GCF of 69104 and 69118?

We will first find the prime factorization of 69104 and 69118. After we will calculate the factors of 69104 and 69118 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 69118

Prime factors of 69118 are 2, 7, 4937. Prime factorization of 69118 in exponential form is:

69118 = 2¹ × 7¹ × 4937¹

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 69118

List of positive integer factors of 69118 that divides 69104 without a remainder.

1, 2, 7, 14, 4937, 9874, 34559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69104 and 69118. The biggest common factor number is the GCF number.
So the greatest common factor 69104 and 69118 is 14.

Also check out the Least Common Multiple of 69104 and 69118