What is the Greatest Common Factor of 77693 and 77707?

Greatest common factor (GCF) of 77693 and 77707 is 7.

GCF(77693,77707) = 7

We will now calculate the prime factors of 77693 and 77707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77693 and 77707.

How to find the GCF of 77693 and 77707?

We will first find the prime factorization of 77693 and 77707. After we will calculate the factors of 77693 and 77707 and find the biggest common factor number .

Step-1: Prime Factorization of 77693

Prime factors of 77693 are 7, 11, 1009. Prime factorization of 77693 in exponential form is:

77693 = 7¹ × 11¹ × 1009¹

Step-2: Prime Factorization of 77707

Prime factors of 77707 are 7, 17, 653. Prime factorization of 77707 in exponential form is:

77707 = 7¹ × 17¹ × 653¹

Step-3: Factors of 77693

List of positive integer factors of 77693 that divides 77693 without a remainder.

1, 7, 11, 77, 1009, 7063, 11099

Step-4: Factors of 77707

List of positive integer factors of 77707 that divides 77693 without a remainder.

1, 7, 17, 119, 653, 4571, 11101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77693 and 77707. The biggest common factor number is the GCF number.
So the greatest common factor 77693 and 77707 is 7.

Also check out the Least Common Multiple of 77693 and 77707