What is the Greatest Common Factor of 69667 and 69680?

Greatest common factor (GCF) of 69667 and 69680 is 13.

GCF(69667,69680) = 13

We will now calculate the prime factors of 69667 and 69680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69667 and 69680.

How to find the GCF of 69667 and 69680?

We will first find the prime factorization of 69667 and 69680. After we will calculate the factors of 69667 and 69680 and find the biggest common factor number .

Step-1: Prime Factorization of 69667

Prime factors of 69667 are 13, 23, 233. Prime factorization of 69667 in exponential form is:

69667 = 13¹ × 23¹ × 233¹

Step-2: Prime Factorization of 69680

Prime factors of 69680 are 2, 5, 13, 67. Prime factorization of 69680 in exponential form is:

69680 = 2⁴ × 5¹ × 13¹ × 67¹

Step-3: Factors of 69667

List of positive integer factors of 69667 that divides 69667 without a remainder.

1, 13, 23, 233, 299, 3029, 5359

Step-4: Factors of 69680

List of positive integer factors of 69680 that divides 69667 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 67, 80, 104, 130, 134, 208, 260, 268, 335, 520, 536, 670, 871, 1040, 1072, 1340, 1742, 2680, 3484, 4355, 5360, 6968, 8710, 13936, 17420, 34840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69667 and 69680. The biggest common factor number is the GCF number.
So the greatest common factor 69667 and 69680 is 13.

Also check out the Least Common Multiple of 69667 and 69680