What is the Greatest Common Factor of 77506 and 77524?

Greatest common factor (GCF) of 77506 and 77524 is 2.

GCF(77506,77524) = 2

We will now calculate the prime factors of 77506 and 77524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77506 and 77524.

How to find the GCF of 77506 and 77524?

We will first find the prime factorization of 77506 and 77524. After we will calculate the factors of 77506 and 77524 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 77524

Prime factors of 77524 are 2, 19381. Prime factorization of 77524 in exponential form is:

77524 = 2² × 19381¹

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 77524

List of positive integer factors of 77524 that divides 77506 without a remainder.

1, 2, 4, 19381, 38762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77506 and 77524. The biggest common factor number is the GCF number.
So the greatest common factor 77506 and 77524 is 2.

Also check out the Least Common Multiple of 77506 and 77524