What is the Greatest Common Factor of 77498 and 77506?

Greatest common factor (GCF) of 77498 and 77506 is 2.

GCF(77498,77506) = 2

We will now calculate the prime factors of 77498 and 77506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77498 and 77506.

How to find the GCF of 77498 and 77506?

We will first find the prime factorization of 77498 and 77506. After we will calculate the factors of 77498 and 77506 and find the biggest common factor number .

Step-1: Prime Factorization of 77498

Prime factors of 77498 are 2, 38749. Prime factorization of 77498 in exponential form is:

77498 = 2¹ × 38749¹

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 77498

List of positive integer factors of 77498 that divides 77498 without a remainder.

1, 2, 38749

Step-4: Factors of 77506

List of positive integer factors of 77506 that divides 77498 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 77498 and 77506. The biggest common factor number is the GCF number.
So the greatest common factor 77498 and 77506 is 2.

Also check out the Least Common Multiple of 77498 and 77506