What is the Greatest Common Factor of 10452 and 10461?
Greatest common factor (GCF) of 10452 and 10461 is 3.
GCF(10452,10461) = 3
We will now calculate the prime factors of 10452 and 10461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10452 and 10461.
How to find the GCF of 10452 and 10461?
We will first find the prime factorization of 10452 and 10461. After we will calculate the factors of 10452 and 10461 and find the biggest common factor number .
Step-1: Prime Factorization of 10452
Prime factors of 10452 are 2, 3, 13, 67. Prime factorization of 10452 in exponential form is:
10452 = 22 × 31 × 131 × 671
Step-2: Prime Factorization of 10461
Prime factors of 10461 are 3, 11, 317. Prime factorization of 10461 in exponential form is:
10461 = 31 × 111 × 3171
Step-3: Factors of 10452
List of positive integer factors of 10452 that divides 10452 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 67, 78, 134, 156, 201, 268, 402, 804, 871, 1742, 2613, 3484, 5226
Step-4: Factors of 10461
List of positive integer factors of 10461 that divides 10452 without a remainder.
1, 3, 11, 33, 317, 951, 3487
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10452 and 10461. The biggest common factor number is the GCF number.
So the greatest common factor 10452 and 10461 is 3.
Also check out the Least Common Multiple of 10452 and 10461
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