What is the Greatest Common Factor of 2750 and 2754?
Greatest common factor (GCF) of 2750 and 2754 is 2.
GCF(2750,2754) = 2
We will now calculate the prime factors of 2750 and 2754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2750 and 2754.
How to find the GCF of 2750 and 2754?
We will first find the prime factorization of 2750 and 2754. After we will calculate the factors of 2750 and 2754 and find the biggest common factor number .
Step-1: Prime Factorization of 2750
Prime factors of 2750 are 2, 5, 11. Prime factorization of 2750 in exponential form is:
2750 = 21 × 53 × 111
Step-2: Prime Factorization of 2754
Prime factors of 2754 are 2, 3, 17. Prime factorization of 2754 in exponential form is:
2754 = 21 × 34 × 171
Step-3: Factors of 2750
List of positive integer factors of 2750 that divides 2750 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375
Step-4: Factors of 2754
List of positive integer factors of 2754 that divides 2750 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 306, 459, 918, 1377
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2750 and 2754. The biggest common factor number is the GCF number.
So the greatest common factor 2750 and 2754 is 2.
Also check out the Least Common Multiple of 2750 and 2754
Related Greatest Common Factors of 2750
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Related Greatest Common Factors of 2754
- GCF of 2754 and 2758
- GCF of 2754 and 2759
- GCF of 2754 and 2760
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- GCF of 2754 and 2764
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