What is the Greatest Common Factor of 69802 and 69820?

Greatest common factor (GCF) of 69802 and 69820 is 2.

GCF(69802,69820) = 2

We will now calculate the prime factors of 69802 and 69820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69802 and 69820.

How to find the GCF of 69802 and 69820?

We will first find the prime factorization of 69802 and 69820. After we will calculate the factors of 69802 and 69820 and find the biggest common factor number .

Step-1: Prime Factorization of 69802

Prime factors of 69802 are 2, 17, 2053. Prime factorization of 69802 in exponential form is:

69802 = 2¹ × 17¹ × 2053¹

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 69802

List of positive integer factors of 69802 that divides 69802 without a remainder.

1, 2, 17, 34, 2053, 4106, 34901

Step-4: Factors of 69820

List of positive integer factors of 69820 that divides 69802 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 69802 and 69820. The biggest common factor number is the GCF number.
So the greatest common factor 69802 and 69820 is 2.

Also check out the Least Common Multiple of 69802 and 69820