What is the Greatest Common Factor of 51604 and 51624?

Greatest common factor (GCF) of 51604 and 51624 is 4.

GCF(51604,51624) = 4

We will now calculate the prime factors of 51604 and 51624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51604 and 51624.

How to find the GCF of 51604 and 51624?

We will first find the prime factorization of 51604 and 51624. After we will calculate the factors of 51604 and 51624 and find the biggest common factor number .

Step-1: Prime Factorization of 51604

Prime factors of 51604 are 2, 7, 19, 97. Prime factorization of 51604 in exponential form is:

51604 = 2² × 7¹ × 19¹ × 97¹

Step-2: Prime Factorization of 51624

Prime factors of 51624 are 2, 3, 239. Prime factorization of 51624 in exponential form is:

51624 = 2³ × 3³ × 239¹

Step-3: Factors of 51604

List of positive integer factors of 51604 that divides 51604 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 97, 133, 194, 266, 388, 532, 679, 1358, 1843, 2716, 3686, 7372, 12901, 25802

Step-4: Factors of 51624

List of positive integer factors of 51624 that divides 51604 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 6453, 8604, 12906, 17208, 25812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51604 and 51624. The biggest common factor number is the GCF number.
So the greatest common factor 51604 and 51624 is 4.

Also check out the Least Common Multiple of 51604 and 51624