What is the Greatest Common Factor of 69782 and 69798?

Greatest common factor (GCF) of 69782 and 69798 is 2.

GCF(69782,69798) = 2

We will now calculate the prime factors of 69782 and 69798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69782 and 69798.

How to find the GCF of 69782 and 69798?

We will first find the prime factorization of 69782 and 69798. After we will calculate the factors of 69782 and 69798 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 69798

Prime factors of 69798 are 2, 3, 11633. Prime factorization of 69798 in exponential form is:

69798 = 2¹ × 3¹ × 11633¹

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 69798

List of positive integer factors of 69798 that divides 69782 without a remainder.

1, 2, 3, 6, 11633, 23266, 34899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69782 and 69798. The biggest common factor number is the GCF number.
So the greatest common factor 69782 and 69798 is 2.

Also check out the Least Common Multiple of 69782 and 69798