What is the Greatest Common Factor of 77493 and 77506?

Greatest common factor (GCF) of 77493 and 77506 is 13.

GCF(77493,77506) = 13

We will now calculate the prime factors of 77493 and 77506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77493 and 77506.

How to find the GCF of 77493 and 77506?

We will first find the prime factorization of 77493 and 77506. After we will calculate the factors of 77493 and 77506 and find the biggest common factor number .

Step-1: Prime Factorization of 77493

Prime factors of 77493 are 3, 13, 1987. Prime factorization of 77493 in exponential form is:

77493 = 3¹ × 13¹ × 1987¹

Step-2: 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-3: Factors of 77493

List of positive integer factors of 77493 that divides 77493 without a remainder.

1, 3, 13, 39, 1987, 5961, 25831

Step-4: Factors of 77506

List of positive integer factors of 77506 that divides 77493 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77493 and 77506. The biggest common factor number is the GCF number.
So the greatest common factor 77493 and 77506 is 13.

Also check out the Least Common Multiple of 77493 and 77506