What is the Greatest Common Factor of 55664 and 55674?
Greatest common factor (GCF) of 55664 and 55674 is 2.
GCF(55664,55674) = 2
We will now calculate the prime factors of 55664 and 55674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55664 and 55674.
How to find the GCF of 55664 and 55674?
We will first find the prime factorization of 55664 and 55674. After we will calculate the factors of 55664 and 55674 and find the biggest common factor number .
Step-1: Prime Factorization of 55664
Prime factors of 55664 are 2, 7, 71. Prime factorization of 55664 in exponential form is:
55664 = 24 × 72 × 711
Step-2: Prime Factorization of 55674
Prime factors of 55674 are 2, 3, 1031. Prime factorization of 55674 in exponential form is:
55674 = 21 × 33 × 10311
Step-3: Factors of 55664
List of positive integer factors of 55664 that divides 55664 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 71, 98, 112, 142, 196, 284, 392, 497, 568, 784, 994, 1136, 1988, 3479, 3976, 6958, 7952, 13916, 27832
Step-4: Factors of 55674
List of positive integer factors of 55674 that divides 55664 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 1031, 2062, 3093, 6186, 9279, 18558, 27837
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55664 and 55674. The biggest common factor number is the GCF number.
So the greatest common factor 55664 and 55674 is 2.
Also check out the Least Common Multiple of 55664 and 55674
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Related Greatest Common Factors of 55674
- GCF of 55674 and 55678
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- GCF of 55674 and 55684
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- GCF of 55674 and 55690
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