What is the Greatest Common Factor of 65648 and 65664?
Greatest common factor (GCF) of 65648 and 65664 is 16.
GCF(65648,65664) = 16
We will now calculate the prime factors of 65648 and 65664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65648 and 65664.
How to find the GCF of 65648 and 65664?
We will first find the prime factorization of 65648 and 65664. After we will calculate the factors of 65648 and 65664 and find the biggest common factor number .
Step-1: Prime Factorization of 65648
Prime factors of 65648 are 2, 11, 373. Prime factorization of 65648 in exponential form is:
65648 = 24 × 111 × 3731
Step-2: Prime Factorization of 65664
Prime factors of 65664 are 2, 3, 19. Prime factorization of 65664 in exponential form is:
65664 = 27 × 33 × 191
Step-3: Factors of 65648
List of positive integer factors of 65648 that divides 65648 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 373, 746, 1492, 2984, 4103, 5968, 8206, 16412, 32824
Step-4: Factors of 65664
List of positive integer factors of 65664 that divides 65648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 64, 72, 76, 96, 108, 114, 128, 144, 152, 171, 192, 216, 228, 288, 304, 342, 384, 432, 456, 513, 576, 608, 684, 864, 912, 1026, 1152, 1216, 1368, 1728, 1824, 2052, 2432, 2736, 3456, 3648, 4104, 5472, 7296, 8208, 10944, 16416, 21888, 32832
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65648 and 65664. The biggest common factor number is the GCF number.
So the greatest common factor 65648 and 65664 is 16.
Also check out the Least Common Multiple of 65648 and 65664
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