What is the Greatest Common Factor of 35064 and 35080?
Greatest common factor (GCF) of 35064 and 35080 is 8.
GCF(35064,35080) = 8
We will now calculate the prime factors of 35064 and 35080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35080.
How to find the GCF of 35064 and 35080?
We will first find the prime factorization of 35064 and 35080. After we will calculate the factors of 35064 and 35080 and find the biggest common factor number .
Step-1: Prime Factorization of 35064
Prime factors of 35064 are 2, 3, 487. Prime factorization of 35064 in exponential form is:
35064 = 23 × 32 × 4871
Step-2: Prime Factorization of 35080
Prime factors of 35080 are 2, 5, 877. Prime factorization of 35080 in exponential form is:
35080 = 23 × 51 × 8771
Step-3: Factors of 35064
List of positive integer factors of 35064 that divides 35064 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 487, 974, 1461, 1948, 2922, 3896, 4383, 5844, 8766, 11688, 17532
Step-4: Factors of 35080
List of positive integer factors of 35080 that divides 35064 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 877, 1754, 3508, 4385, 7016, 8770, 17540
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35064 and 35080. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35080 is 8.
Also check out the Least Common Multiple of 35064 and 35080
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