What is the Greatest Common Factor of 638 and 653?
Greatest common factor (GCF) of 638 and 653 is 1.
GCF(638,653) = 1
We will now calculate the prime factors of 638 and 653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 638 and 653.
How to find the GCF of 638 and 653?
We will first find the prime factorization of 638 and 653. After we will calculate the factors of 638 and 653 and find the biggest common factor number .
Step-1: Prime Factorization of 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Step-2: Prime Factorization of 653
Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:
653 = 6531
Step-3: Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319
Step-4: Factors of 653
List of positive integer factors of 653 that divides 638 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 638 and 653. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 653 is 1.
Also check out the Least Common Multiple of 638 and 653
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