What is the Greatest Common Factor of 69320 and 69338?
Greatest common factor (GCF) of 69320 and 69338 is 2.
GCF(69320,69338) = 2
We will now calculate the prime factors of 69320 and 69338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69320 and 69338.
How to find the GCF of 69320 and 69338?
We will first find the prime factorization of 69320 and 69338. After we will calculate the factors of 69320 and 69338 and find the biggest common factor number .
Step-1: Prime Factorization of 69320
Prime factors of 69320 are 2, 5, 1733. Prime factorization of 69320 in exponential form is:
69320 = 23 × 51 × 17331
Step-2: Prime Factorization of 69338
Prime factors of 69338 are 2, 37, 937. Prime factorization of 69338 in exponential form is:
69338 = 21 × 371 × 9371
Step-3: Factors of 69320
List of positive integer factors of 69320 that divides 69320 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1733, 3466, 6932, 8665, 13864, 17330, 34660
Step-4: Factors of 69338
List of positive integer factors of 69338 that divides 69320 without a remainder.
1, 2, 37, 74, 937, 1874, 34669
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69320 and 69338. The biggest common factor number is the GCF number.
So the greatest common factor 69320 and 69338 is 2.
Also check out the Least Common Multiple of 69320 and 69338
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