What is the Greatest Common Factor of 33945 and 33953?

Greatest common factor (GCF) of 33945 and 33953 is 1.

GCF(33945,33953) = 1

We will now calculate the prime factors of 33945 and 33953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33945 and 33953.

How to find the GCF of 33945 and 33953?

We will first find the prime factorization of 33945 and 33953. After we will calculate the factors of 33945 and 33953 and find the biggest common factor number .

Step-1: Prime Factorization of 33945

Prime factors of 33945 are 3, 5, 31, 73. Prime factorization of 33945 in exponential form is:

33945 = 3¹ × 5¹ × 31¹ × 73¹

Step-2: Prime Factorization of 33953

Prime factors of 33953 are 19, 1787. Prime factorization of 33953 in exponential form is:

33953 = 19¹ × 1787¹

Step-3: Factors of 33945

List of positive integer factors of 33945 that divides 33945 without a remainder.

1, 3, 5, 15, 31, 73, 93, 155, 219, 365, 465, 1095, 2263, 6789, 11315

Step-4: Factors of 33953

List of positive integer factors of 33953 that divides 33945 without a remainder.

1, 19, 1787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33945 and 33953. The biggest common factor number is the GCF number.
So the greatest common factor 33945 and 33953 is 1.

Also check out the Least Common Multiple of 33945 and 33953