What is the Greatest Common Factor of 13720 and 13724?
Greatest common factor (GCF) of 13720 and 13724 is 4.
GCF(13720,13724) = 4
We will now calculate the prime factors of 13720 and 13724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13720 and 13724.
How to find the GCF of 13720 and 13724?
We will first find the prime factorization of 13720 and 13724. After we will calculate the factors of 13720 and 13724 and find the biggest common factor number .
Step-1: Prime Factorization of 13720
Prime factors of 13720 are 2, 5, 7. Prime factorization of 13720 in exponential form is:
13720 = 23 × 51 × 73
Step-2: Prime Factorization of 13724
Prime factors of 13724 are 2, 47, 73. Prime factorization of 13724 in exponential form is:
13724 = 22 × 471 × 731
Step-3: Factors of 13720
List of positive integer factors of 13720 that divides 13720 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 343, 392, 490, 686, 980, 1372, 1715, 1960, 2744, 3430, 6860
Step-4: Factors of 13724
List of positive integer factors of 13724 that divides 13720 without a remainder.
1, 2, 4, 47, 73, 94, 146, 188, 292, 3431, 6862
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13720 and 13724. The biggest common factor number is the GCF number.
So the greatest common factor 13720 and 13724 is 4.
Also check out the Least Common Multiple of 13720 and 13724
Related Greatest Common Factors of 13720
- GCF of 13720 and 13724
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- GCF of 13720 and 13732
- GCF of 13720 and 13733
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Related Greatest Common Factors of 13724
- GCF of 13724 and 13728
- GCF of 13724 and 13729
- GCF of 13724 and 13730
- GCF of 13724 and 13731
- GCF of 13724 and 13732
- GCF of 13724 and 13733
- GCF of 13724 and 13734
- GCF of 13724 and 13735
- GCF of 13724 and 13736
- GCF of 13724 and 13737
- GCF of 13724 and 13738
- GCF of 13724 and 13739
- GCF of 13724 and 13740
- GCF of 13724 and 13741
- GCF of 13724 and 13742
- GCF of 13724 and 13743
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