What is the Greatest Common Factor of 69598 and 69612?

Greatest common factor (GCF) of 69598 and 69612 is 2.

GCF(69598,69612) = 2

We will now calculate the prime factors of 69598 and 69612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69598 and 69612.

How to find the GCF of 69598 and 69612?

We will first find the prime factorization of 69598 and 69612. After we will calculate the factors of 69598 and 69612 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 69612

Prime factors of 69612 are 2, 3, 5801. Prime factorization of 69612 in exponential form is:

69612 = 2² × 3¹ × 5801¹

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 69612

List of positive integer factors of 69612 that divides 69598 without a remainder.

1, 2, 3, 4, 6, 12, 5801, 11602, 17403, 23204, 34806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69598 and 69612. The biggest common factor number is the GCF number.
So the greatest common factor 69598 and 69612 is 2.

Also check out the Least Common Multiple of 69598 and 69612