What is the Greatest Common Factor of 39680 and 39700?
Greatest common factor (GCF) of 39680 and 39700 is 20.
GCF(39680,39700) = 20
We will now calculate the prime factors of 39680 and 39700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39680 and 39700.
How to find the GCF of 39680 and 39700?
We will first find the prime factorization of 39680 and 39700. After we will calculate the factors of 39680 and 39700 and find the biggest common factor number .
Step-1: Prime Factorization of 39680
Prime factors of 39680 are 2, 5, 31. Prime factorization of 39680 in exponential form is:
39680 = 28 × 51 × 311
Step-2: Prime Factorization of 39700
Prime factors of 39700 are 2, 5, 397. Prime factorization of 39700 in exponential form is:
39700 = 22 × 52 × 3971
Step-3: Factors of 39680
List of positive integer factors of 39680 that divides 39680 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 620, 640, 992, 1240, 1280, 1984, 2480, 3968, 4960, 7936, 9920, 19840
Step-4: Factors of 39700
List of positive integer factors of 39700 that divides 39680 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 397, 794, 1588, 1985, 3970, 7940, 9925, 19850
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 39680 and 39700. The biggest common factor number is the GCF number.
So the greatest common factor 39680 and 39700 is 20.
Also check out the Least Common Multiple of 39680 and 39700
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- GCF of 39680 and 39700
Related Greatest Common Factors of 39700
- GCF of 39700 and 39704
- GCF of 39700 and 39705
- GCF of 39700 and 39706
- GCF of 39700 and 39707
- GCF of 39700 and 39708
- GCF of 39700 and 39709
- GCF of 39700 and 39710
- GCF of 39700 and 39711
- GCF of 39700 and 39712
- GCF of 39700 and 39713
- GCF of 39700 and 39714
- GCF of 39700 and 39715
- GCF of 39700 and 39716
- GCF of 39700 and 39717
- GCF of 39700 and 39718
- GCF of 39700 and 39719
- GCF of 39700 and 39720