What is the Greatest Common Factor of 742 and 752?
Greatest common factor (GCF) of 742 and 752 is 2.
GCF(742,752) = 2
We will now calculate the prime factors of 742 and 752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 742 and 752.
How to find the GCF of 742 and 752?
We will first find the prime factorization of 742 and 752. After we will calculate the factors of 742 and 752 and find the biggest common factor number .
Step-1: Prime Factorization of 742
Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:
742 = 21 × 71 × 531
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 742
List of positive integer factors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371
Step-4: Factors of 752
List of positive integer factors of 752 that divides 742 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 742 and 752. The biggest common factor number is the GCF number.
So the greatest common factor 742 and 752 is 2.
Also check out the Least Common Multiple of 742 and 752
Related Greatest Common Factors of 742
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- GCF of 742 and 752
- GCF of 742 and 753
- GCF of 742 and 754
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Related Greatest Common Factors of 752
- GCF of 752 and 756
- GCF of 752 and 757
- GCF of 752 and 758
- GCF of 752 and 759
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- GCF of 752 and 767
- GCF of 752 and 768
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