What is the Greatest Common Factor of 35636 and 35648?
Greatest common factor (GCF) of 35636 and 35648 is 4.
GCF(35636,35648) = 4
We will now calculate the prime factors of 35636 and 35648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35636 and 35648.
How to find the GCF of 35636 and 35648?
We will first find the prime factorization of 35636 and 35648. After we will calculate the factors of 35636 and 35648 and find the biggest common factor number .
Step-1: Prime Factorization of 35636
Prime factors of 35636 are 2, 59, 151. Prime factorization of 35636 in exponential form is:
35636 = 22 × 591 × 1511
Step-2: Prime Factorization of 35648
Prime factors of 35648 are 2, 557. Prime factorization of 35648 in exponential form is:
35648 = 26 × 5571
Step-3: Factors of 35636
List of positive integer factors of 35636 that divides 35636 without a remainder.
1, 2, 4, 59, 118, 151, 236, 302, 604, 8909, 17818
Step-4: Factors of 35648
List of positive integer factors of 35648 that divides 35636 without a remainder.
1, 2, 4, 8, 16, 32, 64, 557, 1114, 2228, 4456, 8912, 17824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 35636 and 35648. The biggest common factor number is the GCF number.
So the greatest common factor 35636 and 35648 is 4.
Also check out the Least Common Multiple of 35636 and 35648
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Related Greatest Common Factors of 35648
- GCF of 35648 and 35652
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