What is the Greatest Common Factor of 94640 and 94645?
Greatest common factor (GCF) of 94640 and 94645 is 5.
GCF(94640,94645) = 5
We will now calculate the prime factors of 94640 and 94645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94640 and 94645.
How to find the GCF of 94640 and 94645?
We will first find the prime factorization of 94640 and 94645. After we will calculate the factors of 94640 and 94645 and find the biggest common factor number .
Step-1: Prime Factorization of 94640
Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:
94640 = 24 × 51 × 71 × 132
Step-2: Prime Factorization of 94645
Prime factors of 94645 are 5, 23, 823. Prime factorization of 94645 in exponential form is:
94645 = 51 × 231 × 8231
Step-3: Factors of 94640
List of positive integer factors of 94640 that divides 94640 without a remainder.
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 169, 182, 208, 260, 280, 338, 364, 455, 520, 560, 676, 728, 845, 910, 1040, 1183, 1352, 1456, 1690, 1820, 2366, 2704, 3380, 3640, 4732, 5915, 6760, 7280, 9464, 11830, 13520, 18928, 23660, 47320
Step-4: Factors of 94645
List of positive integer factors of 94645 that divides 94640 without a remainder.
1, 5, 23, 115, 823, 4115, 18929
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 94640 and 94645. The biggest common factor number is the GCF number.
So the greatest common factor 94640 and 94645 is 5.
Also check out the Least Common Multiple of 94640 and 94645
Related Greatest Common Factors of 94640
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Related Greatest Common Factors of 94645
- GCF of 94645 and 94649
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- GCF of 94645 and 94652
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- GCF of 94645 and 94654
- GCF of 94645 and 94655
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