What is the Greatest Common Factor of 75677 and 75691?

Greatest common factor (GCF) of 75677 and 75691 is 7.

GCF(75677,75691) = 7

We will now calculate the prime factors of 75677 and 75691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75677 and 75691.

How to find the GCF of 75677 and 75691?

We will first find the prime factorization of 75677 and 75691. After we will calculate the factors of 75677 and 75691 and find the biggest common factor number .

Step-1: Prime Factorization of 75677

Prime factors of 75677 are 7, 19, 569. Prime factorization of 75677 in exponential form is:

75677 = 7¹ × 19¹ × 569¹

Step-2: Prime Factorization of 75691

Prime factors of 75691 are 7, 11, 983. Prime factorization of 75691 in exponential form is:

75691 = 7¹ × 11¹ × 983¹

Step-3: Factors of 75677

List of positive integer factors of 75677 that divides 75677 without a remainder.

1, 7, 19, 133, 569, 3983, 10811

Step-4: Factors of 75691

List of positive integer factors of 75691 that divides 75677 without a remainder.

1, 7, 11, 77, 983, 6881, 10813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75677 and 75691. The biggest common factor number is the GCF number.
So the greatest common factor 75677 and 75691 is 7.

Also check out the Least Common Multiple of 75677 and 75691