What is the Greatest Common Factor of 33532 and 33537?

Greatest common factor (GCF) of 33532 and 33537 is 1.

GCF(33532,33537) = 1

We will now calculate the prime factors of 33532 and 33537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33532 and 33537.

How to find the GCF of 33532 and 33537?

We will first find the prime factorization of 33532 and 33537. After we will calculate the factors of 33532 and 33537 and find the biggest common factor number .

Step-1: Prime Factorization of 33532

Prime factors of 33532 are 2, 83, 101. Prime factorization of 33532 in exponential form is:

33532 = 2² × 83¹ × 101¹

Step-2: Prime Factorization of 33537

Prime factors of 33537 are 3, 7, 1597. Prime factorization of 33537 in exponential form is:

33537 = 3¹ × 7¹ × 1597¹

Step-3: Factors of 33532

List of positive integer factors of 33532 that divides 33532 without a remainder.

1, 2, 4, 83, 101, 166, 202, 332, 404, 8383, 16766

Step-4: Factors of 33537

List of positive integer factors of 33537 that divides 33532 without a remainder.

1, 3, 7, 21, 1597, 4791, 11179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33532 and 33537. The biggest common factor number is the GCF number.
So the greatest common factor 33532 and 33537 is 1.

Also check out the Least Common Multiple of 33532 and 33537