What is the Greatest Common Factor of 77506 and 77519?

Greatest common factor (GCF) of 77506 and 77519 is 13.

GCF(77506,77519) = 13

We will now calculate the prime factors of 77506 and 77519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77506 and 77519.

How to find the GCF of 77506 and 77519?

We will first find the prime factorization of 77506 and 77519. After we will calculate the factors of 77506 and 77519 and find the biggest common factor number .

Step-1: Prime Factorization of 77506

Prime factors of 77506 are 2, 11, 13, 271. Prime factorization of 77506 in exponential form is:

77506 = 2¹ × 11¹ × 13¹ × 271¹

Step-2: Prime Factorization of 77519

Prime factors of 77519 are 13, 67, 89. Prime factorization of 77519 in exponential form is:

77519 = 13¹ × 67¹ × 89¹

Step-3: Factors of 77506

List of positive integer factors of 77506 that divides 77506 without a remainder.

1, 2, 11, 13, 22, 26, 143, 271, 286, 542, 2981, 3523, 5962, 7046, 38753

Step-4: Factors of 77519

List of positive integer factors of 77519 that divides 77506 without a remainder.

1, 13, 67, 89, 871, 1157, 5963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77506 and 77519. The biggest common factor number is the GCF number.
So the greatest common factor 77506 and 77519 is 13.

Also check out the Least Common Multiple of 77506 and 77519