What is the Greatest Common Factor of 8730 and 8736?
Greatest common factor (GCF) of 8730 and 8736 is 6.
GCF(8730,8736) = 6
We will now calculate the prime factors of 8730 and 8736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8730 and 8736.
How to find the GCF of 8730 and 8736?
We will first find the prime factorization of 8730 and 8736. After we will calculate the factors of 8730 and 8736 and find the biggest common factor number .
Step-1: Prime Factorization of 8730
Prime factors of 8730 are 2, 3, 5, 97. Prime factorization of 8730 in exponential form is:
8730 = 21 × 32 × 51 × 971
Step-2: Prime Factorization of 8736
Prime factors of 8736 are 2, 3, 7, 13. Prime factorization of 8736 in exponential form is:
8736 = 25 × 31 × 71 × 131
Step-3: Factors of 8730
List of positive integer factors of 8730 that divides 8730 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365
Step-4: Factors of 8736
List of positive integer factors of 8736 that divides 8730 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8730 and 8736. The biggest common factor number is the GCF number.
So the greatest common factor 8730 and 8736 is 6.
Also check out the Least Common Multiple of 8730 and 8736
Related Greatest Common Factors of 8730
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- GCF of 8730 and 8743
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- GCF of 8730 and 8745
- GCF of 8730 and 8746
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- GCF of 8730 and 8748
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Related Greatest Common Factors of 8736
- GCF of 8736 and 8740
- GCF of 8736 and 8741
- GCF of 8736 and 8742
- GCF of 8736 and 8743
- GCF of 8736 and 8744
- GCF of 8736 and 8745
- GCF of 8736 and 8746
- GCF of 8736 and 8747
- GCF of 8736 and 8748
- GCF of 8736 and 8749
- GCF of 8736 and 8750
- GCF of 8736 and 8751
- GCF of 8736 and 8752
- GCF of 8736 and 8753
- GCF of 8736 and 8754
- GCF of 8736 and 8755
- GCF of 8736 and 8756