What is the Greatest Common Factor of 2533 and 2548?
Greatest common factor (GCF) of 2533 and 2548 is 1.
GCF(2533,2548) = 1
We will now calculate the prime factors of 2533 and 2548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2533 and 2548.
How to find the GCF of 2533 and 2548?
We will first find the prime factorization of 2533 and 2548. After we will calculate the factors of 2533 and 2548 and find the biggest common factor number .
Step-1: Prime Factorization of 2533
Prime factors of 2533 are 17, 149. Prime factorization of 2533 in exponential form is:
2533 = 171 × 1491
Step-2: Prime Factorization of 2548
Prime factors of 2548 are 2, 7, 13. Prime factorization of 2548 in exponential form is:
2548 = 22 × 72 × 131
Step-3: Factors of 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149
Step-4: Factors of 2548
List of positive integer factors of 2548 that divides 2533 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2533 and 2548. The biggest common factor number is the GCF number.
So the greatest common factor 2533 and 2548 is 1.
Also check out the Least Common Multiple of 2533 and 2548
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