What is the Greatest Common Factor of 32617 and 32625?
Greatest common factor (GCF) of 32617 and 32625 is 1.
GCF(32617,32625) = 1
We will now calculate the prime factors of 32617 and 32625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32617 and 32625.
How to find the GCF of 32617 and 32625?
We will first find the prime factorization of 32617 and 32625. After we will calculate the factors of 32617 and 32625 and find the biggest common factor number .
Step-1: Prime Factorization of 32617
Prime factors of 32617 are 13, 193. Prime factorization of 32617 in exponential form is:
32617 = 132 × 1931
Step-2: Prime Factorization of 32625
Prime factors of 32625 are 3, 5, 29. Prime factorization of 32625 in exponential form is:
32625 = 32 × 53 × 291
Step-3: Factors of 32617
List of positive integer factors of 32617 that divides 32617 without a remainder.
1, 13, 169, 193, 2509
Step-4: Factors of 32625
List of positive integer factors of 32625 that divides 32617 without a remainder.
1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 125, 145, 225, 261, 375, 435, 725, 1125, 1305, 2175, 3625, 6525, 10875
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 32617 and 32625. The biggest common factor number is the GCF number.
So the greatest common factor 32617 and 32625 is 1.
Also check out the Least Common Multiple of 32617 and 32625
Related Greatest Common Factors of 32617
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Related Greatest Common Factors of 32625
- GCF of 32625 and 32629
- GCF of 32625 and 32630
- GCF of 32625 and 32631
- GCF of 32625 and 32632
- GCF of 32625 and 32633
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- GCF of 32625 and 32635
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- GCF of 32625 and 32639
- GCF of 32625 and 32640
- GCF of 32625 and 32641
- GCF of 32625 and 32642
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