What is the Greatest Common Factor of 9510 and 9528?
Greatest common factor (GCF) of 9510 and 9528 is 6.
GCF(9510,9528) = 6
We will now calculate the prime factors of 9510 and 9528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9510 and 9528.
How to find the GCF of 9510 and 9528?
We will first find the prime factorization of 9510 and 9528. After we will calculate the factors of 9510 and 9528 and find the biggest common factor number .
Step-1: Prime Factorization of 9510
Prime factors of 9510 are 2, 3, 5, 317. Prime factorization of 9510 in exponential form is:
9510 = 21 × 31 × 51 × 3171
Step-2: Prime Factorization of 9528
Prime factors of 9528 are 2, 3, 397. Prime factorization of 9528 in exponential form is:
9528 = 23 × 31 × 3971
Step-3: Factors of 9510
List of positive integer factors of 9510 that divides 9510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 317, 634, 951, 1585, 1902, 3170, 4755
Step-4: Factors of 9528
List of positive integer factors of 9528 that divides 9510 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9510 and 9528. The biggest common factor number is the GCF number.
So the greatest common factor 9510 and 9528 is 6.
Also check out the Least Common Multiple of 9510 and 9528
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