What is the Greatest Common Factor of 77506 and 77521?

Greatest common factor (GCF) of 77506 and 77521 is 1.

GCF(77506,77521) = 1

We will now calculate the prime factors of 77506 and 77521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77506 and 77521.

How to find the GCF of 77506 and 77521?

We will first find the prime factorization of 77506 and 77521. After we will calculate the factors of 77506 and 77521 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 77521

Prime factors of 77521 are 77521. Prime factorization of 77521 in exponential form is:

77521 = 77521¹

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 77521

List of positive integer factors of 77521 that divides 77506 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77506 and 77521. The biggest common factor number is the GCF number.
So the greatest common factor 77506 and 77521 is 1.

Also check out the Least Common Multiple of 77506 and 77521