What is the Greatest Common Factor of 35268 and 35277?
Greatest common factor (GCF) of 35268 and 35277 is 3.
GCF(35268,35277) = 3
We will now calculate the prime factors of 35268 and 35277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35268 and 35277.
How to find the GCF of 35268 and 35277?
We will first find the prime factorization of 35268 and 35277. After we will calculate the factors of 35268 and 35277 and find the biggest common factor number .
Step-1: Prime Factorization of 35268
Prime factors of 35268 are 2, 3, 2939. Prime factorization of 35268 in exponential form is:
35268 = 22 × 31 × 29391
Step-2: Prime Factorization of 35277
Prime factors of 35277 are 3, 11, 1069. Prime factorization of 35277 in exponential form is:
35277 = 31 × 111 × 10691
Step-3: Factors of 35268
List of positive integer factors of 35268 that divides 35268 without a remainder.
1, 2, 3, 4, 6, 12, 2939, 5878, 8817, 11756, 17634
Step-4: Factors of 35277
List of positive integer factors of 35277 that divides 35268 without a remainder.
1, 3, 11, 33, 1069, 3207, 11759
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35268 and 35277. The biggest common factor number is the GCF number.
So the greatest common factor 35268 and 35277 is 3.
Also check out the Least Common Multiple of 35268 and 35277
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