What is the Greatest Common Factor of 5310 and 5314?
Greatest common factor (GCF) of 5310 and 5314 is 2.
GCF(5310,5314) = 2
We will now calculate the prime factors of 5310 and 5314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5310 and 5314.
How to find the GCF of 5310 and 5314?
We will first find the prime factorization of 5310 and 5314. After we will calculate the factors of 5310 and 5314 and find the biggest common factor number .
Step-1: Prime Factorization of 5310
Prime factors of 5310 are 2, 3, 5, 59. Prime factorization of 5310 in exponential form is:
5310 = 21 × 32 × 51 × 591
Step-2: Prime Factorization of 5314
Prime factors of 5314 are 2, 2657. Prime factorization of 5314 in exponential form is:
5314 = 21 × 26571
Step-3: Factors of 5310
List of positive integer factors of 5310 that divides 5310 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655
Step-4: Factors of 5314
List of positive integer factors of 5314 that divides 5310 without a remainder.
1, 2, 2657
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5310 and 5314. The biggest common factor number is the GCF number.
So the greatest common factor 5310 and 5314 is 2.
Also check out the Least Common Multiple of 5310 and 5314
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Related Greatest Common Factors of 5314
- GCF of 5314 and 5318
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- GCF of 5314 and 5320
- GCF of 5314 and 5321
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- GCF of 5314 and 5329
- GCF of 5314 and 5330
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