What is the Greatest Common Factor of 69700 and 69712?

Greatest common factor (GCF) of 69700 and 69712 is 4.

GCF(69700,69712) = 4

We will now calculate the prime factors of 69700 and 69712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69700 and 69712.

How to find the GCF of 69700 and 69712?

We will first find the prime factorization of 69700 and 69712. After we will calculate the factors of 69700 and 69712 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69712

Prime factors of 69712 are 2, 4357. Prime factorization of 69712 in exponential form is:

69712 = 2⁴ × 4357¹

Step-3: Factors of 69700

List of positive integer factors of 69700 that divides 69700 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

Step-4: Factors of 69712

List of positive integer factors of 69712 that divides 69700 without a remainder.

1, 2, 4, 8, 16, 4357, 8714, 17428, 34856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69700 and 69712. The biggest common factor number is the GCF number.
So the greatest common factor 69700 and 69712 is 4.

Also check out the Least Common Multiple of 69700 and 69712