What is the Greatest Common Factor of 645 and 649?
Greatest common factor (GCF) of 645 and 649 is 1.
GCF(645,649) = 1
We will now calculate the prime factors of 645 and 649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 645 and 649.
How to find the GCF of 645 and 649?
We will first find the prime factorization of 645 and 649. After we will calculate the factors of 645 and 649 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 649
Prime factors of 649 are 11, 59. Prime factorization of 649 in exponential form is:
649 = 111 × 591
Step-3: Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215
Step-4: Factors of 649
List of positive integer factors of 649 that divides 645 without a remainder.
1, 11, 59
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 645 and 649. The biggest common factor number is the GCF number.
So the greatest common factor 645 and 649 is 1.
Also check out the Least Common Multiple of 645 and 649
Related Greatest Common Factors of 645
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Related Greatest Common Factors of 649
- GCF of 649 and 653
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