What is the Greatest Common Factor of 32604 and 32624?

Greatest common factor (GCF) of 32604 and 32624 is 4.

GCF(32604,32624) = 4

We will now calculate the prime factors of 32604 and 32624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32604 and 32624.

How to find the GCF of 32604 and 32624?

We will first find the prime factorization of 32604 and 32624. After we will calculate the factors of 32604 and 32624 and find the biggest common factor number .

Step-1: Prime Factorization of 32604

Prime factors of 32604 are 2, 3, 11, 13, 19. Prime factorization of 32604 in exponential form is:

32604 = 2² × 3¹ × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 32624

Prime factors of 32624 are 2, 2039. Prime factorization of 32624 in exponential form is:

32624 = 2⁴ × 2039¹

Step-3: Factors of 32604

List of positive integer factors of 32604 that divides 32604 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 19, 22, 26, 33, 38, 39, 44, 52, 57, 66, 76, 78, 114, 132, 143, 156, 209, 228, 247, 286, 418, 429, 494, 572, 627, 741, 836, 858, 988, 1254, 1482, 1716, 2508, 2717, 2964, 5434, 8151, 10868, 16302

Step-4: Factors of 32624

List of positive integer factors of 32624 that divides 32604 without a remainder.

1, 2, 4, 8, 16, 2039, 4078, 8156, 16312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32604 and 32624. The biggest common factor number is the GCF number.
So the greatest common factor 32604 and 32624 is 4.

Also check out the Least Common Multiple of 32604 and 32624