What is the Greatest Common Factor of 62550 and 62568?

Greatest common factor (GCF) of 62550 and 62568 is 18.

GCF(62550,62568) = 18

We will now calculate the prime factors of 62550 and 62568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62550 and 62568.

How to find the GCF of 62550 and 62568?

We will first find the prime factorization of 62550 and 62568. After we will calculate the factors of 62550 and 62568 and find the biggest common factor number .

Step-1: Prime Factorization of 62550

Prime factors of 62550 are 2, 3, 5, 139. Prime factorization of 62550 in exponential form is:

62550 = 2¹ × 3² × 5² × 139¹

Step-2: Prime Factorization of 62568

Prime factors of 62568 are 2, 3, 11, 79. Prime factorization of 62568 in exponential form is:

62568 = 2³ × 3² × 11¹ × 79¹

Step-3: Factors of 62550

List of positive integer factors of 62550 that divides 62550 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 139, 150, 225, 278, 417, 450, 695, 834, 1251, 1390, 2085, 2502, 3475, 4170, 6255, 6950, 10425, 12510, 20850, 31275

Step-4: Factors of 62568

List of positive integer factors of 62568 that divides 62550 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 79, 88, 99, 132, 158, 198, 237, 264, 316, 396, 474, 632, 711, 792, 869, 948, 1422, 1738, 1896, 2607, 2844, 3476, 5214, 5688, 6952, 7821, 10428, 15642, 20856, 31284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62550 and 62568. The biggest common factor number is the GCF number.
So the greatest common factor 62550 and 62568 is 18.

Also check out the Least Common Multiple of 62550 and 62568