What is the Greatest Common Factor of 77072 and 77082?
Greatest common factor (GCF) of 77072 and 77082 is 2.
GCF(77072,77082) = 2
We will now calculate the prime factors of 77072 and 77082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77072 and 77082.
How to find the GCF of 77072 and 77082?
We will first find the prime factorization of 77072 and 77082. After we will calculate the factors of 77072 and 77082 and find the biggest common factor number .
Step-1: Prime Factorization of 77072
Prime factors of 77072 are 2, 4817. Prime factorization of 77072 in exponential form is:
77072 = 24 × 48171
Step-2: Prime Factorization of 77082
Prime factors of 77082 are 2, 3, 29, 443. Prime factorization of 77082 in exponential form is:
77082 = 21 × 31 × 291 × 4431
Step-3: Factors of 77072
List of positive integer factors of 77072 that divides 77072 without a remainder.
1, 2, 4, 8, 16, 4817, 9634, 19268, 38536
Step-4: Factors of 77082
List of positive integer factors of 77082 that divides 77072 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174, 443, 886, 1329, 2658, 12847, 25694, 38541
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77072 and 77082. The biggest common factor number is the GCF number.
So the greatest common factor 77072 and 77082 is 2.
Also check out the Least Common Multiple of 77072 and 77082
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