What is the Greatest Common Factor of 1752 and 1756?
Greatest common factor (GCF) of 1752 and 1756 is 4.
GCF(1752,1756) = 4
We will now calculate the prime factors of 1752 and 1756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1752 and 1756.
How to find the GCF of 1752 and 1756?
We will first find the prime factorization of 1752 and 1756. After we will calculate the factors of 1752 and 1756 and find the biggest common factor number .
Step-1: Prime Factorization of 1752
Prime factors of 1752 are 2, 3, 73. Prime factorization of 1752 in exponential form is:
1752 = 23 × 31 × 731
Step-2: Prime Factorization of 1756
Prime factors of 1756 are 2, 439. Prime factorization of 1756 in exponential form is:
1756 = 22 × 4391
Step-3: Factors of 1752
List of positive integer factors of 1752 that divides 1752 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876
Step-4: Factors of 1756
List of positive integer factors of 1756 that divides 1752 without a remainder.
1, 2, 4, 439, 878
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1752 and 1756. The biggest common factor number is the GCF number.
So the greatest common factor 1752 and 1756 is 4.
Also check out the Least Common Multiple of 1752 and 1756
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