What is the Greatest Common Factor of 49707 and 49723?
Greatest common factor (GCF) of 49707 and 49723 is 1.
GCF(49707,49723) = 1
We will now calculate the prime factors of 49707 and 49723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49707 and 49723.
How to find the GCF of 49707 and 49723?
We will first find the prime factorization of 49707 and 49723. After we will calculate the factors of 49707 and 49723 and find the biggest common factor number .
Step-1: Prime Factorization of 49707
Prime factors of 49707 are 3, 7, 263. Prime factorization of 49707 in exponential form is:
49707 = 33 × 71 × 2631
Step-2: Prime Factorization of 49723
Prime factors of 49723 are 19, 2617. Prime factorization of 49723 in exponential form is:
49723 = 191 × 26171
Step-3: Factors of 49707
List of positive integer factors of 49707 that divides 49707 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189, 263, 789, 1841, 2367, 5523, 7101, 16569
Step-4: Factors of 49723
List of positive integer factors of 49723 that divides 49707 without a remainder.
1, 19, 2617
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49707 and 49723. The biggest common factor number is the GCF number.
So the greatest common factor 49707 and 49723 is 1.
Also check out the Least Common Multiple of 49707 and 49723
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Related Greatest Common Factors of 49723
- GCF of 49723 and 49727
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- GCF of 49723 and 49729
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- GCF of 49723 and 49733
- GCF of 49723 and 49734
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- GCF of 49723 and 49739
- GCF of 49723 and 49740
- GCF of 49723 and 49741
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