What is the Greatest Common Factor of 36762 and 36772?
Greatest common factor (GCF) of 36762 and 36772 is 2.
GCF(36762,36772) = 2
We will now calculate the prime factors of 36762 and 36772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36762 and 36772.
How to find the GCF of 36762 and 36772?
We will first find the prime factorization of 36762 and 36772. After we will calculate the factors of 36762 and 36772 and find the biggest common factor number .
Step-1: Prime Factorization of 36762
Prime factors of 36762 are 2, 3, 11, 557. Prime factorization of 36762 in exponential form is:
36762 = 21 × 31 × 111 × 5571
Step-2: Prime Factorization of 36772
Prime factors of 36772 are 2, 29, 317. Prime factorization of 36772 in exponential form is:
36772 = 22 × 291 × 3171
Step-3: Factors of 36762
List of positive integer factors of 36762 that divides 36762 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 557, 1114, 1671, 3342, 6127, 12254, 18381
Step-4: Factors of 36772
List of positive integer factors of 36772 that divides 36762 without a remainder.
1, 2, 4, 29, 58, 116, 317, 634, 1268, 9193, 18386
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36762 and 36772. The biggest common factor number is the GCF number.
So the greatest common factor 36762 and 36772 is 2.
Also check out the Least Common Multiple of 36762 and 36772
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