What is the Greatest Common Factor of 33604 and 33624?

Greatest common factor (GCF) of 33604 and 33624 is 4.

GCF(33604,33624) = 4

We will now calculate the prime factors of 33604 and 33624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33604 and 33624.

How to find the GCF of 33604 and 33624?

We will first find the prime factorization of 33604 and 33624. After we will calculate the factors of 33604 and 33624 and find the biggest common factor number .

Step-1: Prime Factorization of 33604

Prime factors of 33604 are 2, 31, 271. Prime factorization of 33604 in exponential form is:

33604 = 2² × 31¹ × 271¹

Step-2: Prime Factorization of 33624

Prime factors of 33624 are 2, 3, 467. Prime factorization of 33624 in exponential form is:

33624 = 2³ × 3² × 467¹

Step-3: Factors of 33604

List of positive integer factors of 33604 that divides 33604 without a remainder.

1, 2, 4, 31, 62, 124, 271, 542, 1084, 8401, 16802

Step-4: Factors of 33624

List of positive integer factors of 33624 that divides 33604 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 467, 934, 1401, 1868, 2802, 3736, 4203, 5604, 8406, 11208, 16812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33604 and 33624. The biggest common factor number is the GCF number.
So the greatest common factor 33604 and 33624 is 4.

Also check out the Least Common Multiple of 33604 and 33624