What is the Greatest Common Factor of 16625 and 16632?

Greatest common factor (GCF) of 16625 and 16632 is 7.

GCF(16625,16632) = 7

We will now calculate the prime factors of 16625 and 16632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16625 and 16632.

How to find the GCF of 16625 and 16632?

We will first find the prime factorization of 16625 and 16632. After we will calculate the factors of 16625 and 16632 and find the biggest common factor number .

Step-1: Prime Factorization of 16625

Prime factors of 16625 are 5, 7, 19. Prime factorization of 16625 in exponential form is:

16625 = 5³ × 7¹ × 19¹

Step-2: Prime Factorization of 16632

Prime factors of 16632 are 2, 3, 7, 11. Prime factorization of 16632 in exponential form is:

16632 = 2³ × 3³ × 7¹ × 11¹

Step-3: Factors of 16625

List of positive integer factors of 16625 that divides 16625 without a remainder.

1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325

Step-4: Factors of 16632

List of positive integer factors of 16632 that divides 16625 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 27, 28, 33, 36, 42, 44, 54, 56, 63, 66, 72, 77, 84, 88, 99, 108, 126, 132, 154, 168, 189, 198, 216, 231, 252, 264, 297, 308, 378, 396, 462, 504, 594, 616, 693, 756, 792, 924, 1188, 1386, 1512, 1848, 2079, 2376, 2772, 4158, 5544, 8316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16625 and 16632. The biggest common factor number is the GCF number.
So the greatest common factor 16625 and 16632 is 7.

Also check out the Least Common Multiple of 16625 and 16632