What is the Greatest Common Factor of 3028 and 3038?
Greatest common factor (GCF) of 3028 and 3038 is 2.
GCF(3028,3038) = 2
We will now calculate the prime factors of 3028 and 3038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3028 and 3038.
How to find the GCF of 3028 and 3038?
We will first find the prime factorization of 3028 and 3038. After we will calculate the factors of 3028 and 3038 and find the biggest common factor number .
Step-1: Prime Factorization of 3028
Prime factors of 3028 are 2, 757. Prime factorization of 3028 in exponential form is:
3028 = 22 × 7571
Step-2: Prime Factorization of 3038
Prime factors of 3038 are 2, 7, 31. Prime factorization of 3038 in exponential form is:
3038 = 21 × 72 × 311
Step-3: Factors of 3028
List of positive integer factors of 3028 that divides 3028 without a remainder.
1, 2, 4, 757, 1514
Step-4: Factors of 3038
List of positive integer factors of 3038 that divides 3028 without a remainder.
1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3028 and 3038. The biggest common factor number is the GCF number.
So the greatest common factor 3028 and 3038 is 2.
Also check out the Least Common Multiple of 3028 and 3038
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