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What is the Greatest Common Factor of 6240 and 6260?

Greatest common factor (GCF) of 6240 and 6260 is 20.

GCF(6240,6260) = 20

We will now calculate the prime factors of 6240 and 6260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6240 and 6260.

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How to find the GCF of 6240 and 6260?

We will first find the prime factorization of 6240 and 6260. After we will calculate the factors of 6240 and 6260 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 6260

Prime factors of 6260 are 2, 5, 313. Prime factorization of 6260 in exponential form is:

6260 = 22 × 51 × 3131

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 6260

List of positive integer factors of 6260 that divides 6240 without a remainder.

1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6240 and 6260. The biggest common factor number is the GCF number.
So the greatest common factor 6240 and 6260 is 20.

Also check out the Least Common Multiple of 6240 and 6260