What is the Greatest Common Factor of 8712 and 8732?
Greatest common factor (GCF) of 8712 and 8732 is 4.
GCF(8712,8732) = 4
We will now calculate the prime factors of 8712 and 8732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8712 and 8732.
How to find the GCF of 8712 and 8732?
We will first find the prime factorization of 8712 and 8732. After we will calculate the factors of 8712 and 8732 and find the biggest common factor number .
Step-1: Prime Factorization of 8712
Prime factors of 8712 are 2, 3, 11. Prime factorization of 8712 in exponential form is:
8712 = 23 × 32 × 112
Step-2: Prime Factorization of 8732
Prime factors of 8732 are 2, 37, 59. Prime factorization of 8732 in exponential form is:
8732 = 22 × 371 × 591
Step-3: Factors of 8712
List of positive integer factors of 8712 that divides 8712 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356
Step-4: Factors of 8732
List of positive integer factors of 8732 that divides 8712 without a remainder.
1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8712 and 8732. The biggest common factor number is the GCF number.
So the greatest common factor 8712 and 8732 is 4.
Also check out the Least Common Multiple of 8712 and 8732
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Related Greatest Common Factors of 8732
- GCF of 8732 and 8736
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- GCF of 8732 and 8739
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- GCF of 8732 and 8742
- GCF of 8732 and 8743
- GCF of 8732 and 8744
- GCF of 8732 and 8745
- GCF of 8732 and 8746
- GCF of 8732 and 8747
- GCF of 8732 and 8748
- GCF of 8732 and 8749
- GCF of 8732 and 8750
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