What is the Greatest Common Factor of 69598 and 69604?

Greatest common factor (GCF) of 69598 and 69604 is 2.

GCF(69598,69604) = 2

We will now calculate the prime factors of 69598 and 69604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69598 and 69604.

How to find the GCF of 69598 and 69604?

We will first find the prime factorization of 69598 and 69604. After we will calculate the factors of 69598 and 69604 and find the biggest common factor number .

Step-1: Prime Factorization of 69598

Prime factors of 69598 are 2, 17, 23, 89. Prime factorization of 69598 in exponential form is:

69598 = 2¹ × 17¹ × 23¹ × 89¹

Step-2: Prime Factorization of 69604

Prime factors of 69604 are 2, 17401. Prime factorization of 69604 in exponential form is:

69604 = 2² × 17401¹

Step-3: Factors of 69598

List of positive integer factors of 69598 that divides 69598 without a remainder.

1, 2, 17, 23, 34, 46, 89, 178, 391, 782, 1513, 2047, 3026, 4094, 34799

Step-4: Factors of 69604

List of positive integer factors of 69604 that divides 69598 without a remainder.

1, 2, 4, 17401, 34802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69598 and 69604. The biggest common factor number is the GCF number.
So the greatest common factor 69598 and 69604 is 2.

Also check out the Least Common Multiple of 69598 and 69604