What is the Greatest Common Factor of 66355 and 66360?
Greatest common factor (GCF) of 66355 and 66360 is 5.
GCF(66355,66360) = 5
We will now calculate the prime factors of 66355 and 66360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66355 and 66360.
How to find the GCF of 66355 and 66360?
We will first find the prime factorization of 66355 and 66360. After we will calculate the factors of 66355 and 66360 and find the biggest common factor number .
Step-1: Prime Factorization of 66355
Prime factors of 66355 are 5, 23, 577. Prime factorization of 66355 in exponential form is:
66355 = 51 × 231 × 5771
Step-2: Prime Factorization of 66360
Prime factors of 66360 are 2, 3, 5, 7, 79. Prime factorization of 66360 in exponential form is:
66360 = 23 × 31 × 51 × 71 × 791
Step-3: Factors of 66355
List of positive integer factors of 66355 that divides 66355 without a remainder.
1, 5, 23, 115, 577, 2885, 13271
Step-4: Factors of 66360
List of positive integer factors of 66360 that divides 66355 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 79, 84, 105, 120, 140, 158, 168, 210, 237, 280, 316, 395, 420, 474, 553, 632, 790, 840, 948, 1106, 1185, 1580, 1659, 1896, 2212, 2370, 2765, 3160, 3318, 4424, 4740, 5530, 6636, 8295, 9480, 11060, 13272, 16590, 22120, 33180
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66355 and 66360. The biggest common factor number is the GCF number.
So the greatest common factor 66355 and 66360 is 5.
Also check out the Least Common Multiple of 66355 and 66360
Related Greatest Common Factors of 66355
- GCF of 66355 and 66359
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Related Greatest Common Factors of 66360
- GCF of 66360 and 66364
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- GCF of 66360 and 66366
- GCF of 66360 and 66367
- GCF of 66360 and 66368
- GCF of 66360 and 66369
- GCF of 66360 and 66370
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- GCF of 66360 and 66375
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