What is the Greatest Common Factor of 5028 and 5032?
Greatest common factor (GCF) of 5028 and 5032 is 4.
GCF(5028,5032) = 4
We will now calculate the prime factors of 5028 and 5032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5028 and 5032.
How to find the GCF of 5028 and 5032?
We will first find the prime factorization of 5028 and 5032. After we will calculate the factors of 5028 and 5032 and find the biggest common factor number .
Step-1: Prime Factorization of 5028
Prime factors of 5028 are 2, 3, 419. Prime factorization of 5028 in exponential form is:
5028 = 22 × 31 × 4191
Step-2: Prime Factorization of 5032
Prime factors of 5032 are 2, 17, 37. Prime factorization of 5032 in exponential form is:
5032 = 23 × 171 × 371
Step-3: Factors of 5028
List of positive integer factors of 5028 that divides 5028 without a remainder.
1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514
Step-4: Factors of 5032
List of positive integer factors of 5032 that divides 5028 without a remainder.
1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5028 and 5032. The biggest common factor number is the GCF number.
So the greatest common factor 5028 and 5032 is 4.
Also check out the Least Common Multiple of 5028 and 5032
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