What is the Greatest Common Factor of 65700 and 65708?
Greatest common factor (GCF) of 65700 and 65708 is 4.
GCF(65700,65708) = 4
We will now calculate the prime factors of 65700 and 65708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65700 and 65708.
How to find the GCF of 65700 and 65708?
We will first find the prime factorization of 65700 and 65708. After we will calculate the factors of 65700 and 65708 and find the biggest common factor number .
Step-1: Prime Factorization of 65700
Prime factors of 65700 are 2, 3, 5, 73. Prime factorization of 65700 in exponential form is:
65700 = 22 × 32 × 52 × 731
Step-2: Prime Factorization of 65708
Prime factors of 65708 are 2, 16427. Prime factorization of 65708 in exponential form is:
65708 = 22 × 164271
Step-3: Factors of 65700
List of positive integer factors of 65700 that divides 65700 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 73, 75, 90, 100, 146, 150, 180, 219, 225, 292, 300, 365, 438, 450, 657, 730, 876, 900, 1095, 1314, 1460, 1825, 2190, 2628, 3285, 3650, 4380, 5475, 6570, 7300, 10950, 13140, 16425, 21900, 32850
Step-4: Factors of 65708
List of positive integer factors of 65708 that divides 65700 without a remainder.
1, 2, 4, 16427, 32854
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65700 and 65708. The biggest common factor number is the GCF number.
So the greatest common factor 65700 and 65708 is 4.
Also check out the Least Common Multiple of 65700 and 65708
Related Greatest Common Factors of 65700
- GCF of 65700 and 65704
- GCF of 65700 and 65705
- GCF of 65700 and 65706
- GCF of 65700 and 65707
- GCF of 65700 and 65708
- GCF of 65700 and 65709
- GCF of 65700 and 65710
- GCF of 65700 and 65711
- GCF of 65700 and 65712
- GCF of 65700 and 65713
- GCF of 65700 and 65714
- GCF of 65700 and 65715
- GCF of 65700 and 65716
- GCF of 65700 and 65717
- GCF of 65700 and 65718
- GCF of 65700 and 65719
- GCF of 65700 and 65720
Related Greatest Common Factors of 65708
- GCF of 65708 and 65712
- GCF of 65708 and 65713
- GCF of 65708 and 65714
- GCF of 65708 and 65715
- GCF of 65708 and 65716
- GCF of 65708 and 65717
- GCF of 65708 and 65718
- GCF of 65708 and 65719
- GCF of 65708 and 65720
- GCF of 65708 and 65721
- GCF of 65708 and 65722
- GCF of 65708 and 65723
- GCF of 65708 and 65724
- GCF of 65708 and 65725
- GCF of 65708 and 65726
- GCF of 65708 and 65727
- GCF of 65708 and 65728