What is the Greatest Common Factor of 57660 and 57664?
Greatest common factor (GCF) of 57660 and 57664 is 4.
GCF(57660,57664) = 4
We will now calculate the prime factors of 57660 and 57664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57660 and 57664.
How to find the GCF of 57660 and 57664?
We will first find the prime factorization of 57660 and 57664. After we will calculate the factors of 57660 and 57664 and find the biggest common factor number .
Step-1: Prime Factorization of 57660
Prime factors of 57660 are 2, 3, 5, 31. Prime factorization of 57660 in exponential form is:
57660 = 22 × 31 × 51 × 312
Step-2: Prime Factorization of 57664
Prime factors of 57664 are 2, 17, 53. Prime factorization of 57664 in exponential form is:
57664 = 26 × 171 × 531
Step-3: Factors of 57660
List of positive integer factors of 57660 that divides 57660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 961, 1860, 1922, 2883, 3844, 4805, 5766, 9610, 11532, 14415, 19220, 28830
Step-4: Factors of 57664
List of positive integer factors of 57664 that divides 57660 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 53, 64, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1088, 1696, 1802, 3392, 3604, 7208, 14416, 28832
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57660 and 57664. The biggest common factor number is the GCF number.
So the greatest common factor 57660 and 57664 is 4.
Also check out the Least Common Multiple of 57660 and 57664
Related Greatest Common Factors of 57660
- GCF of 57660 and 57664
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- GCF of 57660 and 57669
- GCF of 57660 and 57670
- GCF of 57660 and 57671
- GCF of 57660 and 57672
- GCF of 57660 and 57673
- GCF of 57660 and 57674
- GCF of 57660 and 57675
- GCF of 57660 and 57676
- GCF of 57660 and 57677
- GCF of 57660 and 57678
- GCF of 57660 and 57679
- GCF of 57660 and 57680
Related Greatest Common Factors of 57664
- GCF of 57664 and 57668
- GCF of 57664 and 57669
- GCF of 57664 and 57670
- GCF of 57664 and 57671
- GCF of 57664 and 57672
- GCF of 57664 and 57673
- GCF of 57664 and 57674
- GCF of 57664 and 57675
- GCF of 57664 and 57676
- GCF of 57664 and 57677
- GCF of 57664 and 57678
- GCF of 57664 and 57679
- GCF of 57664 and 57680
- GCF of 57664 and 57681
- GCF of 57664 and 57682
- GCF of 57664 and 57683
- GCF of 57664 and 57684