What is the Greatest Common Factor of 64648 and 64660?
Greatest common factor (GCF) of 64648 and 64660 is 4.
GCF(64648,64660) = 4
We will now calculate the prime factors of 64648 and 64660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64648 and 64660.
How to find the GCF of 64648 and 64660?
We will first find the prime factorization of 64648 and 64660. After we will calculate the factors of 64648 and 64660 and find the biggest common factor number .
Step-1: Prime Factorization of 64648
Prime factors of 64648 are 2, 8081. Prime factorization of 64648 in exponential form is:
64648 = 23 × 80811
Step-2: Prime Factorization of 64660
Prime factors of 64660 are 2, 5, 53, 61. Prime factorization of 64660 in exponential form is:
64660 = 22 × 51 × 531 × 611
Step-3: Factors of 64648
List of positive integer factors of 64648 that divides 64648 without a remainder.
1, 2, 4, 8, 8081, 16162, 32324
Step-4: Factors of 64660
List of positive integer factors of 64660 that divides 64648 without a remainder.
1, 2, 4, 5, 10, 20, 53, 61, 106, 122, 212, 244, 265, 305, 530, 610, 1060, 1220, 3233, 6466, 12932, 16165, 32330
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64648 and 64660. The biggest common factor number is the GCF number.
So the greatest common factor 64648 and 64660 is 4.
Also check out the Least Common Multiple of 64648 and 64660
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