What is the Greatest Common Factor of 20846 and 20853?

Greatest common factor (GCF) of 20846 and 20853 is 7.

GCF(20846,20853) = 7

We will now calculate the prime factors of 20846 and 20853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20846 and 20853.

How to find the GCF of 20846 and 20853?

We will first find the prime factorization of 20846 and 20853. After we will calculate the factors of 20846 and 20853 and find the biggest common factor number .

Step-1: Prime Factorization of 20846

Prime factors of 20846 are 2, 7, 1489. Prime factorization of 20846 in exponential form is:

20846 = 2¹ × 7¹ × 1489¹

Step-2: Prime Factorization of 20853

Prime factors of 20853 are 3, 7, 331. Prime factorization of 20853 in exponential form is:

20853 = 3² × 7¹ × 331¹

Step-3: Factors of 20846

List of positive integer factors of 20846 that divides 20846 without a remainder.

1, 2, 7, 14, 1489, 2978, 10423

Step-4: Factors of 20853

List of positive integer factors of 20853 that divides 20846 without a remainder.

1, 3, 7, 9, 21, 63, 331, 993, 2317, 2979, 6951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20846 and 20853. The biggest common factor number is the GCF number.
So the greatest common factor 20846 and 20853 is 7.

Also check out the Least Common Multiple of 20846 and 20853