What is the Greatest Common Factor of 77707 and 77714?

Greatest common factor (GCF) of 77707 and 77714 is 7.

GCF(77707,77714) = 7

We will now calculate the prime factors of 77707 and 77714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77707 and 77714.

How to find the GCF of 77707 and 77714?

We will first find the prime factorization of 77707 and 77714. After we will calculate the factors of 77707 and 77714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77714

Prime factors of 77714 are 2, 7, 13, 61. Prime factorization of 77714 in exponential form is:

77714 = 2¹ × 7² × 13¹ × 61¹

Step-3: Factors of 77707

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

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

Step-4: Factors of 77714

List of positive integer factors of 77714 that divides 77707 without a remainder.

1, 2, 7, 13, 14, 26, 49, 61, 91, 98, 122, 182, 427, 637, 793, 854, 1274, 1586, 2989, 5551, 5978, 11102, 38857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77707 and 77714. The biggest common factor number is the GCF number.
So the greatest common factor 77707 and 77714 is 7.

Also check out the Least Common Multiple of 77707 and 77714