What is the Greatest Common Factor of 69294 and 69310?
Greatest common factor (GCF) of 69294 and 69310 is 2.
GCF(69294,69310) = 2
We will now calculate the prime factors of 69294 and 69310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69294 and 69310.
How to find the GCF of 69294 and 69310?
We will first find the prime factorization of 69294 and 69310. After we will calculate the factors of 69294 and 69310 and find the biggest common factor number .
Step-1: Prime Factorization of 69294
Prime factors of 69294 are 2, 3, 11549. Prime factorization of 69294 in exponential form is:
69294 = 21 × 31 × 115491
Step-2: Prime Factorization of 69310
Prime factors of 69310 are 2, 5, 29, 239. Prime factorization of 69310 in exponential form is:
69310 = 21 × 51 × 291 × 2391
Step-3: Factors of 69294
List of positive integer factors of 69294 that divides 69294 without a remainder.
1, 2, 3, 6, 11549, 23098, 34647
Step-4: Factors of 69310
List of positive integer factors of 69310 that divides 69294 without a remainder.
1, 2, 5, 10, 29, 58, 145, 239, 290, 478, 1195, 2390, 6931, 13862, 34655
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69294 and 69310. The biggest common factor number is the GCF number.
So the greatest common factor 69294 and 69310 is 2.
Also check out the Least Common Multiple of 69294 and 69310
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