What is the Greatest Common Factor of 70301 and 70307?
Greatest common factor (GCF) of 70301 and 70307 is 1.
GCF(70301,70307) = 1
We will now calculate the prime factors of 70301 and 70307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70301 and 70307.
How to find the GCF of 70301 and 70307?
We will first find the prime factorization of 70301 and 70307. After we will calculate the factors of 70301 and 70307 and find the biggest common factor number .
Step-1: Prime Factorization of 70301
Prime factors of 70301 are 7, 11, 83. Prime factorization of 70301 in exponential form is:
70301 = 71 × 112 × 831
Step-2: Prime Factorization of 70307
Prime factors of 70307 are 167, 421. Prime factorization of 70307 in exponential form is:
70307 = 1671 × 4211
Step-3: Factors of 70301
List of positive integer factors of 70301 that divides 70301 without a remainder.
1, 7, 11, 77, 83, 121, 581, 847, 913, 6391, 10043
Step-4: Factors of 70307
List of positive integer factors of 70307 that divides 70301 without a remainder.
1, 167, 421
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70301 and 70307. The biggest common factor number is the GCF number.
So the greatest common factor 70301 and 70307 is 1.
Also check out the Least Common Multiple of 70301 and 70307
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