What is the Greatest Common Factor of 62550 and 62570?

Greatest common factor (GCF) of 62550 and 62570 is 10.

GCF(62550,62570) = 10

We will now calculate the prime factors of 62550 and 62570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62550 and 62570.

How to find the GCF of 62550 and 62570?

We will first find the prime factorization of 62550 and 62570. After we will calculate the factors of 62550 and 62570 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 62570

Prime factors of 62570 are 2, 5, 6257. Prime factorization of 62570 in exponential form is:

62570 = 2¹ × 5¹ × 6257¹

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 62570

List of positive integer factors of 62570 that divides 62550 without a remainder.

1, 2, 5, 10, 6257, 12514, 31285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62550 and 62570. The biggest common factor number is the GCF number.
So the greatest common factor 62550 and 62570 is 10.

Also check out the Least Common Multiple of 62550 and 62570