What is the Greatest Common Factor of 20945 and 20965?

Greatest common factor (GCF) of 20945 and 20965 is 5.

GCF(20945,20965) = 5

We will now calculate the prime factors of 20945 and 20965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20945 and 20965.

How to find the GCF of 20945 and 20965?

We will first find the prime factorization of 20945 and 20965. After we will calculate the factors of 20945 and 20965 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 20965

Prime factors of 20965 are 5, 7, 599. Prime factorization of 20965 in exponential form is:

20965 = 5¹ × 7¹ × 599¹

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 20965

List of positive integer factors of 20965 that divides 20945 without a remainder.

1, 5, 7, 35, 599, 2995, 4193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20945 and 20965. The biggest common factor number is the GCF number.
So the greatest common factor 20945 and 20965 is 5.

Also check out the Least Common Multiple of 20945 and 20965