What is the Greatest Common Factor of 69680 and 69691?

Greatest common factor (GCF) of 69680 and 69691 is 1.

GCF(69680,69691) = 1

We will now calculate the prime factors of 69680 and 69691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69680 and 69691.

How to find the GCF of 69680 and 69691?

We will first find the prime factorization of 69680 and 69691. After we will calculate the factors of 69680 and 69691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69691

Prime factors of 69691 are 69691. Prime factorization of 69691 in exponential form is:

69691 = 69691¹

Step-3: Factors of 69680

List of positive integer factors of 69680 that divides 69680 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

Step-4: Factors of 69691

List of positive integer factors of 69691 that divides 69680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69680 and 69691. The biggest common factor number is the GCF number.
So the greatest common factor 69680 and 69691 is 1.

Also check out the Least Common Multiple of 69680 and 69691