What is the Greatest Common Factor of 15720 and 15732?
Greatest common factor (GCF) of 15720 and 15732 is 12.
GCF(15720,15732) = 12
We will now calculate the prime factors of 15720 and 15732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15720 and 15732.
How to find the GCF of 15720 and 15732?
We will first find the prime factorization of 15720 and 15732. After we will calculate the factors of 15720 and 15732 and find the biggest common factor number .
Step-1: Prime Factorization of 15720
Prime factors of 15720 are 2, 3, 5, 131. Prime factorization of 15720 in exponential form is:
15720 = 23 × 31 × 51 × 1311
Step-2: Prime Factorization of 15732
Prime factors of 15732 are 2, 3, 19, 23. Prime factorization of 15732 in exponential form is:
15732 = 22 × 32 × 191 × 231
Step-3: Factors of 15720
List of positive integer factors of 15720 that divides 15720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 131, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3930, 5240, 7860
Step-4: Factors of 15732
List of positive integer factors of 15732 that divides 15720 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 23, 36, 38, 46, 57, 69, 76, 92, 114, 138, 171, 207, 228, 276, 342, 414, 437, 684, 828, 874, 1311, 1748, 2622, 3933, 5244, 7866
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15720 and 15732. The biggest common factor number is the GCF number.
So the greatest common factor 15720 and 15732 is 12.
Also check out the Least Common Multiple of 15720 and 15732
Related Greatest Common Factors of 15720
- GCF of 15720 and 15724
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- GCF of 15720 and 15730
- GCF of 15720 and 15731
- GCF of 15720 and 15732
- GCF of 15720 and 15733
- GCF of 15720 and 15734
- GCF of 15720 and 15735
- GCF of 15720 and 15736
- GCF of 15720 and 15737
- GCF of 15720 and 15738
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Related Greatest Common Factors of 15732
- GCF of 15732 and 15736
- GCF of 15732 and 15737
- GCF of 15732 and 15738
- GCF of 15732 and 15739
- GCF of 15732 and 15740
- GCF of 15732 and 15741
- GCF of 15732 and 15742
- GCF of 15732 and 15743
- GCF of 15732 and 15744
- GCF of 15732 and 15745
- GCF of 15732 and 15746
- GCF of 15732 and 15747
- GCF of 15732 and 15748
- GCF of 15732 and 15749
- GCF of 15732 and 15750
- GCF of 15732 and 15751
- GCF of 15732 and 15752