What is the Greatest Common Factor of 36028 and 36036?
Greatest common factor (GCF) of 36028 and 36036 is 4.
GCF(36028,36036) = 4
We will now calculate the prime factors of 36028 and 36036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36028 and 36036.
How to find the GCF of 36028 and 36036?
We will first find the prime factorization of 36028 and 36036. After we will calculate the factors of 36028 and 36036 and find the biggest common factor number .
Step-1: Prime Factorization of 36028
Prime factors of 36028 are 2, 9007. Prime factorization of 36028 in exponential form is:
36028 = 22 × 90071
Step-2: Prime Factorization of 36036
Prime factors of 36036 are 2, 3, 7, 11, 13. Prime factorization of 36036 in exponential form is:
36036 = 22 × 32 × 71 × 111 × 131
Step-3: Factors of 36028
List of positive integer factors of 36028 that divides 36028 without a remainder.
1, 2, 4, 9007, 18014
Step-4: Factors of 36036
List of positive integer factors of 36036 that divides 36028 without a remainder.
1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36028 and 36036. The biggest common factor number is the GCF number.
So the greatest common factor 36028 and 36036 is 4.
Also check out the Least Common Multiple of 36028 and 36036
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