What is the Greatest Common Factor of 6240 and 6250?

Greatest common factor (GCF) of 6240 and 6250 is 10.

GCF(6240,6250) = 10

We will now calculate the prime factors of 6240 and 6250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6240 and 6250.

How to find the GCF of 6240 and 6250?

We will first find the prime factorization of 6240 and 6250. After we will calculate the factors of 6240 and 6250 and find the biggest common factor number .

Step-1: Prime Factorization of 6240

Prime factors of 6240 are 2, 3, 5, 13. Prime factorization of 6240 in exponential form is:

6240 = 2⁵ × 3¹ × 5¹ × 13¹

Step-2: Prime Factorization of 6250

Prime factors of 6250 are 2, 5. Prime factorization of 6250 in exponential form is:

6250 = 2¹ × 5⁵

Step-3: Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120

Step-4: Factors of 6250

List of positive integer factors of 6250 that divides 6240 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6240 and 6250. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6250 is 10.

Also check out the Least Common Multiple of 6240 and 6250