What is the Greatest Common Factor of 69598 and 69615?

Greatest common factor (GCF) of 69598 and 69615 is 17.

GCF(69598,69615) = 17

We will now calculate the prime factors of 69598 and 69615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69598 and 69615.

How to find the GCF of 69598 and 69615?

We will first find the prime factorization of 69598 and 69615. After we will calculate the factors of 69598 and 69615 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 69615

Prime factors of 69615 are 3, 5, 7, 13, 17. Prime factorization of 69615 in exponential form is:

69615 = 3² × 5¹ × 7¹ × 13¹ × 17¹

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 69615

List of positive integer factors of 69615 that divides 69598 without a remainder.

1, 3, 5, 7, 9, 13, 15, 17, 21, 35, 39, 45, 51, 63, 65, 85, 91, 105, 117, 119, 153, 195, 221, 255, 273, 315, 357, 455, 585, 595, 663, 765, 819, 1071, 1105, 1365, 1547, 1785, 1989, 3315, 4095, 4641, 5355, 7735, 9945, 13923, 23205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69598 and 69615. The biggest common factor number is the GCF number.
So the greatest common factor 69598 and 69615 is 17.

Also check out the Least Common Multiple of 69598 and 69615