What is the Greatest Common Factor of 77675 and 77690?

Greatest common factor (GCF) of 77675 and 77690 is 5.

GCF(77675,77690) = 5

We will now calculate the prime factors of 77675 and 77690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77675 and 77690.

How to find the GCF of 77675 and 77690?

We will first find the prime factorization of 77675 and 77690. After we will calculate the factors of 77675 and 77690 and find the biggest common factor number .

Step-1: Prime Factorization of 77675

Prime factors of 77675 are 5, 13, 239. Prime factorization of 77675 in exponential form is:

77675 = 5² × 13¹ × 239¹

Step-2: Prime Factorization of 77690

Prime factors of 77690 are 2, 5, 17, 457. Prime factorization of 77690 in exponential form is:

77690 = 2¹ × 5¹ × 17¹ × 457¹

Step-3: Factors of 77675

List of positive integer factors of 77675 that divides 77675 without a remainder.

1, 5, 13, 25, 65, 239, 325, 1195, 3107, 5975, 15535

Step-4: Factors of 77690

List of positive integer factors of 77690 that divides 77675 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 457, 914, 2285, 4570, 7769, 15538, 38845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77675 and 77690. The biggest common factor number is the GCF number.
So the greatest common factor 77675 and 77690 is 5.

Also check out the Least Common Multiple of 77675 and 77690