What is the Greatest Common Factor of 6240 and 6251?

Greatest common factor (GCF) of 6240 and 6251 is 1.

GCF(6240,6251) = 1

We will now calculate the prime factors of 6240 and 6251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6240 and 6251.

How to find the GCF of 6240 and 6251?

We will first find the prime factorization of 6240 and 6251. After we will calculate the factors of 6240 and 6251 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 6251

Prime factors of 6251 are 7, 19, 47. Prime factorization of 6251 in exponential form is:

6251 = 7¹ × 19¹ × 47¹

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 6251

List of positive integer factors of 6251 that divides 6240 without a remainder.

1, 7, 19, 47, 133, 329, 893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6240 and 6251. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6251 is 1.

Also check out the Least Common Multiple of 6240 and 6251