What is the Greatest Common Factor of 32507 and 32524?
Greatest common factor (GCF) of 32507 and 32524 is 1.
GCF(32507,32524) = 1
We will now calculate the prime factors of 32507 and 32524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32507 and 32524.
How to find the GCF of 32507 and 32524?
We will first find the prime factorization of 32507 and 32524. After we will calculate the factors of 32507 and 32524 and find the biggest common factor number .
Step-1: Prime Factorization of 32507
Prime factors of 32507 are 32507. Prime factorization of 32507 in exponential form is:
32507 = 325071
Step-2: Prime Factorization of 32524
Prime factors of 32524 are 2, 47, 173. Prime factorization of 32524 in exponential form is:
32524 = 22 × 471 × 1731
Step-3: Factors of 32507
List of positive integer factors of 32507 that divides 32507 without a remainder.
1
Step-4: Factors of 32524
List of positive integer factors of 32524 that divides 32507 without a remainder.
1, 2, 4, 47, 94, 173, 188, 346, 692, 8131, 16262
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32507 and 32524. The biggest common factor number is the GCF number.
So the greatest common factor 32507 and 32524 is 1.
Also check out the Least Common Multiple of 32507 and 32524
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