What is the Greatest Common Factor of 1602 and 1612?
Greatest common factor (GCF) of 1602 and 1612 is 2.
GCF(1602,1612) = 2
We will now calculate the prime factors of 1602 and 1612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1602 and 1612.
How to find the GCF of 1602 and 1612?
We will first find the prime factorization of 1602 and 1612. After we will calculate the factors of 1602 and 1612 and find the biggest common factor number .
Step-1: Prime Factorization of 1602
Prime factors of 1602 are 2, 3, 89. Prime factorization of 1602 in exponential form is:
1602 = 21 × 32 × 891
Step-2: Prime Factorization of 1612
Prime factors of 1612 are 2, 13, 31. Prime factorization of 1612 in exponential form is:
1612 = 22 × 131 × 311
Step-3: Factors of 1602
List of positive integer factors of 1602 that divides 1602 without a remainder.
1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801
Step-4: Factors of 1612
List of positive integer factors of 1612 that divides 1602 without a remainder.
1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1602 and 1612. The biggest common factor number is the GCF number.
So the greatest common factor 1602 and 1612 is 2.
Also check out the Least Common Multiple of 1602 and 1612
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Related Greatest Common Factors of 1612
- GCF of 1612 and 1616
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