What is the Greatest Common Factor of 748 and 752?
Greatest common factor (GCF) of 748 and 752 is 4.
GCF(748,752) = 4
We will now calculate the prime factors of 748 and 752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 748 and 752.
How to find the GCF of 748 and 752?
We will first find the prime factorization of 748 and 752. After we will calculate the factors of 748 and 752 and find the biggest common factor number .
Step-1: Prime Factorization of 748
Prime factors of 748 are 2, 11, 17. Prime factorization of 748 in exponential form is:
748 = 22 × 111 × 171
Step-2: Prime Factorization of 752
Prime factors of 752 are 2, 47. Prime factorization of 752 in exponential form is:
752 = 24 × 471
Step-3: Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374
Step-4: Factors of 752
List of positive integer factors of 752 that divides 748 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 748 and 752. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 752 is 4.
Also check out the Least Common Multiple of 748 and 752
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