What is the Greatest Common Factor of 635 and 645?
Greatest common factor (GCF) of 635 and 645 is 5.
GCF(635,645) = 5
We will now calculate the prime factors of 635 and 645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 635 and 645.
How to find the GCF of 635 and 645?
We will first find the prime factorization of 635 and 645. After we will calculate the factors of 635 and 645 and find the biggest common factor number .
Step-1: Prime Factorization of 635
Prime factors of 635 are 5, 127. Prime factorization of 635 in exponential form is:
635 = 51 × 1271
Step-2: Prime Factorization of 645
Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:
645 = 31 × 51 × 431
Step-3: Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1, 5, 127
Step-4: Factors of 645
List of positive integer factors of 645 that divides 635 without a remainder.
1, 3, 5, 15, 43, 129, 215
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 635 and 645. The biggest common factor number is the GCF number.
So the greatest common factor 635 and 645 is 5.
Also check out the Least Common Multiple of 635 and 645
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