What is the Greatest Common Factor of 71092 and 71102?
Greatest common factor (GCF) of 71092 and 71102 is 2.
GCF(71092,71102) = 2
We will now calculate the prime factors of 71092 and 71102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71092 and 71102.
How to find the GCF of 71092 and 71102?
We will first find the prime factorization of 71092 and 71102. After we will calculate the factors of 71092 and 71102 and find the biggest common factor number .
Step-1: Prime Factorization of 71092
Prime factors of 71092 are 2, 7, 2539. Prime factorization of 71092 in exponential form is:
71092 = 22 × 71 × 25391
Step-2: Prime Factorization of 71102
Prime factors of 71102 are 2, 73, 487. Prime factorization of 71102 in exponential form is:
71102 = 21 × 731 × 4871
Step-3: Factors of 71092
List of positive integer factors of 71092 that divides 71092 without a remainder.
1, 2, 4, 7, 14, 28, 2539, 5078, 10156, 17773, 35546
Step-4: Factors of 71102
List of positive integer factors of 71102 that divides 71092 without a remainder.
1, 2, 73, 146, 487, 974, 35551
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71092 and 71102. The biggest common factor number is the GCF number.
So the greatest common factor 71092 and 71102 is 2.
Also check out the Least Common Multiple of 71092 and 71102
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