What is the Greatest Common Factor of 64698 and 64707?
Greatest common factor (GCF) of 64698 and 64707 is 3.
GCF(64698,64707) = 3
We will now calculate the prime factors of 64698 and 64707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64698 and 64707.
How to find the GCF of 64698 and 64707?
We will first find the prime factorization of 64698 and 64707. After we will calculate the factors of 64698 and 64707 and find the biggest common factor number .
Step-1: Prime Factorization of 64698
Prime factors of 64698 are 2, 3, 41, 263. Prime factorization of 64698 in exponential form is:
64698 = 21 × 31 × 411 × 2631
Step-2: Prime Factorization of 64707
Prime factors of 64707 are 3, 21569. Prime factorization of 64707 in exponential form is:
64707 = 31 × 215691
Step-3: Factors of 64698
List of positive integer factors of 64698 that divides 64698 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246, 263, 526, 789, 1578, 10783, 21566, 32349
Step-4: Factors of 64707
List of positive integer factors of 64707 that divides 64698 without a remainder.
1, 3, 21569
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64698 and 64707. The biggest common factor number is the GCF number.
So the greatest common factor 64698 and 64707 is 3.
Also check out the Least Common Multiple of 64698 and 64707
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