What is the Greatest Common Factor of 69702 and 69710?
Greatest common factor (GCF) of 69702 and 69710 is 2.
GCF(69702,69710) = 2
We will now calculate the prime factors of 69702 and 69710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69702 and 69710.
How to find the GCF of 69702 and 69710?
We will first find the prime factorization of 69702 and 69710. After we will calculate the factors of 69702 and 69710 and find the biggest common factor number .
Step-1: Prime Factorization of 69702
Prime factors of 69702 are 2, 3, 11617. Prime factorization of 69702 in exponential form is:
69702 = 21 × 31 × 116171
Step-2: Prime Factorization of 69710
Prime factors of 69710 are 2, 5, 6971. Prime factorization of 69710 in exponential form is:
69710 = 21 × 51 × 69711
Step-3: Factors of 69702
List of positive integer factors of 69702 that divides 69702 without a remainder.
1, 2, 3, 6, 11617, 23234, 34851
Step-4: Factors of 69710
List of positive integer factors of 69710 that divides 69702 without a remainder.
1, 2, 5, 10, 6971, 13942, 34855
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69702 and 69710. The biggest common factor number is the GCF number.
So the greatest common factor 69702 and 69710 is 2.
Also check out the Least Common Multiple of 69702 and 69710
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