What is the Greatest Common Factor of 77935 and 77948?

Greatest common factor (GCF) of 77935 and 77948 is 13.

GCF(77935,77948) = 13

We will now calculate the prime factors of 77935 and 77948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77935 and 77948.

How to find the GCF of 77935 and 77948?

We will first find the prime factorization of 77935 and 77948. After we will calculate the factors of 77935 and 77948 and find the biggest common factor number .

Step-1: Prime Factorization of 77935

Prime factors of 77935 are 5, 11, 13, 109. Prime factorization of 77935 in exponential form is:

77935 = 5¹ × 11¹ × 13¹ × 109¹

Step-2: Prime Factorization of 77948

Prime factors of 77948 are 2, 13, 1499. Prime factorization of 77948 in exponential form is:

77948 = 2² × 13¹ × 1499¹

Step-3: Factors of 77935

List of positive integer factors of 77935 that divides 77935 without a remainder.

1, 5, 11, 13, 55, 65, 109, 143, 545, 715, 1199, 1417, 5995, 7085, 15587

Step-4: Factors of 77948

List of positive integer factors of 77948 that divides 77935 without a remainder.

1, 2, 4, 13, 26, 52, 1499, 2998, 5996, 19487, 38974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77935 and 77948. The biggest common factor number is the GCF number.
So the greatest common factor 77935 and 77948 is 13.

Also check out the Least Common Multiple of 77935 and 77948