What is the Greatest Common Factor of 43642 and 43648?
Greatest common factor (GCF) of 43642 and 43648 is 2.
GCF(43642,43648) = 2
We will now calculate the prime factors of 43642 and 43648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43642 and 43648.
How to find the GCF of 43642 and 43648?
We will first find the prime factorization of 43642 and 43648. After we will calculate the factors of 43642 and 43648 and find the biggest common factor number .
Step-1: Prime Factorization of 43642
Prime factors of 43642 are 2, 21821. Prime factorization of 43642 in exponential form is:
43642 = 21 × 218211
Step-2: Prime Factorization of 43648
Prime factors of 43648 are 2, 11, 31. Prime factorization of 43648 in exponential form is:
43648 = 27 × 111 × 311
Step-3: Factors of 43642
List of positive integer factors of 43642 that divides 43642 without a remainder.
1, 2, 21821
Step-4: Factors of 43648
List of positive integer factors of 43648 that divides 43642 without a remainder.
1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 3968, 5456, 10912, 21824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 43642 and 43648. The biggest common factor number is the GCF number.
So the greatest common factor 43642 and 43648 is 2.
Also check out the Least Common Multiple of 43642 and 43648
Related Greatest Common Factors of 43642
- GCF of 43642 and 43646
- GCF of 43642 and 43647
- GCF of 43642 and 43648
- GCF of 43642 and 43649
- GCF of 43642 and 43650
- GCF of 43642 and 43651
- GCF of 43642 and 43652
- GCF of 43642 and 43653
- GCF of 43642 and 43654
- GCF of 43642 and 43655
- GCF of 43642 and 43656
- GCF of 43642 and 43657
- GCF of 43642 and 43658
- GCF of 43642 and 43659
- GCF of 43642 and 43660
- GCF of 43642 and 43661
- GCF of 43642 and 43662
Related Greatest Common Factors of 43648
- GCF of 43648 and 43652
- GCF of 43648 and 43653
- GCF of 43648 and 43654
- GCF of 43648 and 43655
- GCF of 43648 and 43656
- GCF of 43648 and 43657
- GCF of 43648 and 43658
- GCF of 43648 and 43659
- GCF of 43648 and 43660
- GCF of 43648 and 43661
- GCF of 43648 and 43662
- GCF of 43648 and 43663
- GCF of 43648 and 43664
- GCF of 43648 and 43665
- GCF of 43648 and 43666
- GCF of 43648 and 43667
- GCF of 43648 and 43668