What is the Greatest Common Factor of 69805 and 69820?

Greatest common factor (GCF) of 69805 and 69820 is 5.

GCF(69805,69820) = 5

We will now calculate the prime factors of 69805 and 69820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69805 and 69820.

How to find the GCF of 69805 and 69820?

We will first find the prime factorization of 69805 and 69820. After we will calculate the factors of 69805 and 69820 and find the biggest common factor number .

Step-1: Prime Factorization of 69805

Prime factors of 69805 are 5, 23, 607. Prime factorization of 69805 in exponential form is:

69805 = 5¹ × 23¹ × 607¹

Step-2: Prime Factorization of 69820

Prime factors of 69820 are 2, 5, 3491. Prime factorization of 69820 in exponential form is:

69820 = 2² × 5¹ × 3491¹

Step-3: Factors of 69805

List of positive integer factors of 69805 that divides 69805 without a remainder.

1, 5, 23, 115, 607, 3035, 13961

Step-4: Factors of 69820

List of positive integer factors of 69820 that divides 69805 without a remainder.

1, 2, 4, 5, 10, 20, 3491, 6982, 13964, 17455, 34910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69805 and 69820. The biggest common factor number is the GCF number.
So the greatest common factor 69805 and 69820 is 5.

Also check out the Least Common Multiple of 69805 and 69820