What is the Greatest Common Factor of 66925 and 66945?

Greatest common factor (GCF) of 66925 and 66945 is 5.

GCF(66925,66945) = 5

We will now calculate the prime factors of 66925 and 66945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66925 and 66945.

How to find the GCF of 66925 and 66945?

We will first find the prime factorization of 66925 and 66945. After we will calculate the factors of 66925 and 66945 and find the biggest common factor number .

Step-1: Prime Factorization of 66925

Prime factors of 66925 are 5, 2677. Prime factorization of 66925 in exponential form is:

66925 = 5² × 2677¹

Step-2: Prime Factorization of 66945

Prime factors of 66945 are 3, 5, 4463. Prime factorization of 66945 in exponential form is:

66945 = 3¹ × 5¹ × 4463¹

Step-3: Factors of 66925

List of positive integer factors of 66925 that divides 66925 without a remainder.

1, 5, 25, 2677, 13385

Step-4: Factors of 66945

List of positive integer factors of 66945 that divides 66925 without a remainder.

1, 3, 5, 15, 4463, 13389, 22315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66925 and 66945. The biggest common factor number is the GCF number.
So the greatest common factor 66925 and 66945 is 5.

Also check out the Least Common Multiple of 66925 and 66945