What is the Greatest Common Factor of 742 and 751?
Greatest common factor (GCF) of 742 and 751 is 1.
GCF(742,751) = 1
We will now calculate the prime factors of 742 and 751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 742 and 751.
How to find the GCF of 742 and 751?
We will first find the prime factorization of 742 and 751. After we will calculate the factors of 742 and 751 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 751
Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:
751 = 7511
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 751
List of positive integer factors of 751 that divides 742 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 742 and 751. The biggest common factor number is the GCF number.
So the greatest common factor 742 and 751 is 1.
Also check out the Least Common Multiple of 742 and 751
Related Greatest Common Factors of 742
- GCF of 742 and 746
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- GCF of 742 and 751
- GCF of 742 and 752
- GCF of 742 and 753
- GCF of 742 and 754
- GCF of 742 and 755
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- GCF of 742 and 758
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Related Greatest Common Factors of 751
- GCF of 751 and 755
- GCF of 751 and 756
- GCF of 751 and 757
- GCF of 751 and 758
- GCF of 751 and 759
- GCF of 751 and 760
- GCF of 751 and 761
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- GCF of 751 and 765
- GCF of 751 and 766
- GCF of 751 and 767
- GCF of 751 and 768
- GCF of 751 and 769
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