What is the Greatest Common Factor of 20945 and 20953?

Greatest common factor (GCF) of 20945 and 20953 is 1.

GCF(20945,20953) = 1

We will now calculate the prime factors of 20945 and 20953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20945 and 20953.

How to find the GCF of 20945 and 20953?

We will first find the prime factorization of 20945 and 20953. After we will calculate the factors of 20945 and 20953 and find the biggest common factor number .

Step-1: Prime Factorization of 20945

Prime factors of 20945 are 5, 59, 71. Prime factorization of 20945 in exponential form is:

20945 = 5¹ × 59¹ × 71¹

Step-2: Prime Factorization of 20953

Prime factors of 20953 are 23, 911. Prime factorization of 20953 in exponential form is:

20953 = 23¹ × 911¹

Step-3: Factors of 20945

List of positive integer factors of 20945 that divides 20945 without a remainder.

1, 5, 59, 71, 295, 355, 4189

Step-4: Factors of 20953

List of positive integer factors of 20953 that divides 20945 without a remainder.

1, 23, 911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20945 and 20953. The biggest common factor number is the GCF number.
So the greatest common factor 20945 and 20953 is 1.

Also check out the Least Common Multiple of 20945 and 20953