What is the Greatest Common Factor of 32053 and 32067?

Greatest common factor (GCF) of 32053 and 32067 is 7.

GCF(32053,32067) = 7

We will now calculate the prime factors of 32053 and 32067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32053 and 32067.

How to find the GCF of 32053 and 32067?

We will first find the prime factorization of 32053 and 32067. After we will calculate the factors of 32053 and 32067 and find the biggest common factor number .

Step-1: Prime Factorization of 32053

Prime factors of 32053 are 7, 19, 241. Prime factorization of 32053 in exponential form is:

32053 = 7¹ × 19¹ × 241¹

Step-2: Prime Factorization of 32067

Prime factors of 32067 are 3, 7, 509. Prime factorization of 32067 in exponential form is:

32067 = 3² × 7¹ × 509¹

Step-3: Factors of 32053

List of positive integer factors of 32053 that divides 32053 without a remainder.

1, 7, 19, 133, 241, 1687, 4579

Step-4: Factors of 32067

List of positive integer factors of 32067 that divides 32053 without a remainder.

1, 3, 7, 9, 21, 63, 509, 1527, 3563, 4581, 10689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32053 and 32067. The biggest common factor number is the GCF number.
So the greatest common factor 32053 and 32067 is 7.

Also check out the Least Common Multiple of 32053 and 32067