What is the Greatest Common Factor of 7769 and 7788?
Greatest common factor (GCF) of 7769 and 7788 is 1.
GCF(7769,7788) = 1
We will now calculate the prime factors of 7769 and 7788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7769 and 7788.
How to find the GCF of 7769 and 7788?
We will first find the prime factorization of 7769 and 7788. After we will calculate the factors of 7769 and 7788 and find the biggest common factor number .
Step-1: Prime Factorization of 7769
Prime factors of 7769 are 17, 457. Prime factorization of 7769 in exponential form is:
7769 = 171 × 4571
Step-2: Prime Factorization of 7788
Prime factors of 7788 are 2, 3, 11, 59. Prime factorization of 7788 in exponential form is:
7788 = 22 × 31 × 111 × 591
Step-3: Factors of 7769
List of positive integer factors of 7769 that divides 7769 without a remainder.
1, 17, 457
Step-4: Factors of 7788
List of positive integer factors of 7788 that divides 7769 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 7769 and 7788. The biggest common factor number is the GCF number.
So the greatest common factor 7769 and 7788 is 1.
Also check out the Least Common Multiple of 7769 and 7788
Related Greatest Common Factors of 7769
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Related Greatest Common Factors of 7788
- GCF of 7788 and 7792
- GCF of 7788 and 7793
- GCF of 7788 and 7794
- GCF of 7788 and 7795
- GCF of 7788 and 7796
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- GCF of 7788 and 7798
- GCF of 7788 and 7799
- GCF of 7788 and 7800
- GCF of 7788 and 7801
- GCF of 7788 and 7802
- GCF of 7788 and 7803
- GCF of 7788 and 7804
- GCF of 7788 and 7805
- GCF of 7788 and 7806
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