What is the Greatest Common Factor of 69782 and 69802?

Greatest common factor (GCF) of 69782 and 69802 is 2.

GCF(69782,69802) = 2

We will now calculate the prime factors of 69782 and 69802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69782 and 69802.

How to find the GCF of 69782 and 69802?

We will first find the prime factorization of 69782 and 69802. After we will calculate the factors of 69782 and 69802 and find the biggest common factor number .

Step-1: Prime Factorization of 69782

Prime factors of 69782 are 2, 23, 37, 41. Prime factorization of 69782 in exponential form is:

69782 = 2¹ × 23¹ × 37¹ × 41¹

Step-2: 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-3: Factors of 69782

List of positive integer factors of 69782 that divides 69782 without a remainder.

1, 2, 23, 37, 41, 46, 74, 82, 851, 943, 1517, 1702, 1886, 3034, 34891

Step-4: Factors of 69802

List of positive integer factors of 69802 that divides 69782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69782 and 69802. The biggest common factor number is the GCF number.
So the greatest common factor 69782 and 69802 is 2.

Also check out the Least Common Multiple of 69782 and 69802