What is the Greatest Common Factor of 13746 and 13750?
Greatest common factor (GCF) of 13746 and 13750 is 2.
GCF(13746,13750) = 2
We will now calculate the prime factors of 13746 and 13750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13746 and 13750.
How to find the GCF of 13746 and 13750?
We will first find the prime factorization of 13746 and 13750. After we will calculate the factors of 13746 and 13750 and find the biggest common factor number .
Step-1: Prime Factorization of 13746
Prime factors of 13746 are 2, 3, 29, 79. Prime factorization of 13746 in exponential form is:
13746 = 21 × 31 × 291 × 791
Step-2: Prime Factorization of 13750
Prime factors of 13750 are 2, 5, 11. Prime factorization of 13750 in exponential form is:
13750 = 21 × 54 × 111
Step-3: Factors of 13746
List of positive integer factors of 13746 that divides 13746 without a remainder.
1, 2, 3, 6, 29, 58, 79, 87, 158, 174, 237, 474, 2291, 4582, 6873
Step-4: Factors of 13750
List of positive integer factors of 13750 that divides 13746 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250, 1375, 2750, 6875
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13746 and 13750. The biggest common factor number is the GCF number.
So the greatest common factor 13746 and 13750 is 2.
Also check out the Least Common Multiple of 13746 and 13750
Related Greatest Common Factors of 13746
- GCF of 13746 and 13750
- GCF of 13746 and 13751
- GCF of 13746 and 13752
- GCF of 13746 and 13753
- GCF of 13746 and 13754
- GCF of 13746 and 13755
- GCF of 13746 and 13756
- GCF of 13746 and 13757
- GCF of 13746 and 13758
- GCF of 13746 and 13759
- GCF of 13746 and 13760
- GCF of 13746 and 13761
- GCF of 13746 and 13762
- GCF of 13746 and 13763
- GCF of 13746 and 13764
- GCF of 13746 and 13765
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Related Greatest Common Factors of 13750
- GCF of 13750 and 13754
- GCF of 13750 and 13755
- GCF of 13750 and 13756
- GCF of 13750 and 13757
- GCF of 13750 and 13758
- GCF of 13750 and 13759
- GCF of 13750 and 13760
- GCF of 13750 and 13761
- GCF of 13750 and 13762
- GCF of 13750 and 13763
- GCF of 13750 and 13764
- GCF of 13750 and 13765
- GCF of 13750 and 13766
- GCF of 13750 and 13767
- GCF of 13750 and 13768
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