What is the Greatest Common Factor of 69680 and 69700?

Greatest common factor (GCF) of 69680 and 69700 is 20.

GCF(69680,69700) = 20

We will now calculate the prime factors of 69680 and 69700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69680 and 69700.

How to find the GCF of 69680 and 69700?

We will first find the prime factorization of 69680 and 69700. After we will calculate the factors of 69680 and 69700 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 69700

Prime factors of 69700 are 2, 5, 17, 41. Prime factorization of 69700 in exponential form is:

69700 = 2² × 5² × 17¹ × 41¹

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 69700

List of positive integer factors of 69700 that divides 69680 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 41, 50, 68, 82, 85, 100, 164, 170, 205, 340, 410, 425, 697, 820, 850, 1025, 1394, 1700, 2050, 2788, 3485, 4100, 6970, 13940, 17425, 34850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69680 and 69700. The biggest common factor number is the GCF number.
So the greatest common factor 69680 and 69700 is 20.

Also check out the Least Common Multiple of 69680 and 69700