What is the Greatest Common Factor of 761 and 775?
Greatest common factor (GCF) of 761 and 775 is 1.
GCF(761,775) = 1
We will now calculate the prime factors of 761 and 775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 761 and 775.
How to find the GCF of 761 and 775?
We will first find the prime factorization of 761 and 775. After we will calculate the factors of 761 and 775 and find the biggest common factor number .
Step-1: Prime Factorization of 761
Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:
761 = 7611
Step-2: Prime Factorization of 775
Prime factors of 775 are 5, 31. Prime factorization of 775 in exponential form is:
775 = 52 × 311
Step-3: Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1
Step-4: Factors of 775
List of positive integer factors of 775 that divides 761 without a remainder.
1, 5, 25, 31, 155
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 761 and 775. The biggest common factor number is the GCF number.
So the greatest common factor 761 and 775 is 1.
Also check out the Least Common Multiple of 761 and 775
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