What is the Greatest Common Factor of 63509 and 63528?
Greatest common factor (GCF) of 63509 and 63528 is 1.
GCF(63509,63528) = 1
We will now calculate the prime factors of 63509 and 63528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63509 and 63528.
How to find the GCF of 63509 and 63528?
We will first find the prime factorization of 63509 and 63528. After we will calculate the factors of 63509 and 63528 and find the biggest common factor number .
Step-1: Prime Factorization of 63509
Prime factors of 63509 are 41, 1549. Prime factorization of 63509 in exponential form is:
63509 = 411 × 15491
Step-2: Prime Factorization of 63528
Prime factors of 63528 are 2, 3, 2647. Prime factorization of 63528 in exponential form is:
63528 = 23 × 31 × 26471
Step-3: Factors of 63509
List of positive integer factors of 63509 that divides 63509 without a remainder.
1, 41, 1549
Step-4: Factors of 63528
List of positive integer factors of 63528 that divides 63509 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 2647, 5294, 7941, 10588, 15882, 21176, 31764
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 63509 and 63528. The biggest common factor number is the GCF number.
So the greatest common factor 63509 and 63528 is 1.
Also check out the Least Common Multiple of 63509 and 63528
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