What is the Greatest Common Factor of 6261 and 6280?
Greatest common factor (GCF) of 6261 and 6280 is 1.
GCF(6261,6280) = 1
We will now calculate the prime factors of 6261 and 6280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6261 and 6280.
How to find the GCF of 6261 and 6280?
We will first find the prime factorization of 6261 and 6280. After we will calculate the factors of 6261 and 6280 and find the biggest common factor number .
Step-1: Prime Factorization of 6261
Prime factors of 6261 are 3, 2087. Prime factorization of 6261 in exponential form is:
6261 = 31 × 20871
Step-2: Prime Factorization of 6280
Prime factors of 6280 are 2, 5, 157. Prime factorization of 6280 in exponential form is:
6280 = 23 × 51 × 1571
Step-3: Factors of 6261
List of positive integer factors of 6261 that divides 6261 without a remainder.
1, 3, 2087
Step-4: Factors of 6280
List of positive integer factors of 6280 that divides 6261 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6261 and 6280. The biggest common factor number is the GCF number.
So the greatest common factor 6261 and 6280 is 1.
Also check out the Least Common Multiple of 6261 and 6280
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