What is the Greatest Common Factor of 69608 and 69615?

Greatest common factor (GCF) of 69608 and 69615 is 7.

GCF(69608,69615) = 7

We will now calculate the prime factors of 69608 and 69615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69608 and 69615.

How to find the GCF of 69608 and 69615?

We will first find the prime factorization of 69608 and 69615. After we will calculate the factors of 69608 and 69615 and find the biggest common factor number .

Step-1: Prime Factorization of 69608

Prime factors of 69608 are 2, 7, 11, 113. Prime factorization of 69608 in exponential form is:

69608 = 2³ × 7¹ × 11¹ × 113¹

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 69608

List of positive integer factors of 69608 that divides 69608 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 113, 154, 226, 308, 452, 616, 791, 904, 1243, 1582, 2486, 3164, 4972, 6328, 8701, 9944, 17402, 34804

Step-4: Factors of 69615

List of positive integer factors of 69615 that divides 69608 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 69608 and 69615. The biggest common factor number is the GCF number.
So the greatest common factor 69608 and 69615 is 7.

Also check out the Least Common Multiple of 69608 and 69615