What is the Greatest Common Factor of 56670 and 56690?
Greatest common factor (GCF) of 56670 and 56690 is 10.
GCF(56670,56690) = 10
We will now calculate the prime factors of 56670 and 56690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56670 and 56690.
How to find the GCF of 56670 and 56690?
We will first find the prime factorization of 56670 and 56690. After we will calculate the factors of 56670 and 56690 and find the biggest common factor number .
Step-1: Prime Factorization of 56670
Prime factors of 56670 are 2, 3, 5, 1889. Prime factorization of 56670 in exponential form is:
56670 = 21 × 31 × 51 × 18891
Step-2: Prime Factorization of 56690
Prime factors of 56690 are 2, 5, 5669. Prime factorization of 56690 in exponential form is:
56690 = 21 × 51 × 56691
Step-3: Factors of 56670
List of positive integer factors of 56670 that divides 56670 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 1889, 3778, 5667, 9445, 11334, 18890, 28335
Step-4: Factors of 56690
List of positive integer factors of 56690 that divides 56670 without a remainder.
1, 2, 5, 10, 5669, 11338, 28345
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 56670 and 56690. The biggest common factor number is the GCF number.
So the greatest common factor 56670 and 56690 is 10.
Also check out the Least Common Multiple of 56670 and 56690
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