What is the Greatest Common Factor of 20925 and 20945?

Greatest common factor (GCF) of 20925 and 20945 is 5.

GCF(20925,20945) = 5

We will now calculate the prime factors of 20925 and 20945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20925 and 20945.

How to find the GCF of 20925 and 20945?

We will first find the prime factorization of 20925 and 20945. After we will calculate the factors of 20925 and 20945 and find the biggest common factor number .

Step-1: Prime Factorization of 20925

Prime factors of 20925 are 3, 5, 31. Prime factorization of 20925 in exponential form is:

20925 = 3³ × 5² × 31¹

Step-2: 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-3: Factors of 20925

List of positive integer factors of 20925 that divides 20925 without a remainder.

1, 3, 5, 9, 15, 25, 27, 31, 45, 75, 93, 135, 155, 225, 279, 465, 675, 775, 837, 1395, 2325, 4185, 6975

Step-4: Factors of 20945

List of positive integer factors of 20945 that divides 20925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20925 and 20945. The biggest common factor number is the GCF number.
So the greatest common factor 20925 and 20945 is 5.

Also check out the Least Common Multiple of 20925 and 20945