What is the Greatest Common Factor of 69680 and 69697?

Greatest common factor (GCF) of 69680 and 69697 is 1.

GCF(69680,69697) = 1

We will now calculate the prime factors of 69680 and 69697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69680 and 69697.

How to find the GCF of 69680 and 69697?

We will first find the prime factorization of 69680 and 69697. After we will calculate the factors of 69680 and 69697 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 69697

Prime factors of 69697 are 69697. Prime factorization of 69697 in exponential form is:

69697 = 69697¹

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 69697

List of positive integer factors of 69697 that divides 69680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69680 and 69697. The biggest common factor number is the GCF number.
So the greatest common factor 69680 and 69697 is 1.

Also check out the Least Common Multiple of 69680 and 69697