What is the Greatest Common Factor of 70245 and 70265?
Greatest common factor (GCF) of 70245 and 70265 is 5.
GCF(70245,70265) = 5
We will now calculate the prime factors of 70245 and 70265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70245 and 70265.
How to find the GCF of 70245 and 70265?
We will first find the prime factorization of 70245 and 70265. After we will calculate the factors of 70245 and 70265 and find the biggest common factor number .
Step-1: Prime Factorization of 70245
Prime factors of 70245 are 3, 5, 7, 223. Prime factorization of 70245 in exponential form is:
70245 = 32 × 51 × 71 × 2231
Step-2: Prime Factorization of 70265
Prime factors of 70265 are 5, 13, 23, 47. Prime factorization of 70265 in exponential form is:
70265 = 51 × 131 × 231 × 471
Step-3: Factors of 70245
List of positive integer factors of 70245 that divides 70245 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 223, 315, 669, 1115, 1561, 2007, 3345, 4683, 7805, 10035, 14049, 23415
Step-4: Factors of 70265
List of positive integer factors of 70265 that divides 70245 without a remainder.
1, 5, 13, 23, 47, 65, 115, 235, 299, 611, 1081, 1495, 3055, 5405, 14053
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70245 and 70265. The biggest common factor number is the GCF number.
So the greatest common factor 70245 and 70265 is 5.
Also check out the Least Common Multiple of 70245 and 70265
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