What is the Greatest Common Factor of 77498 and 77502?

Greatest common factor (GCF) of 77498 and 77502 is 2.

GCF(77498,77502) = 2

We will now calculate the prime factors of 77498 and 77502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77498 and 77502.

How to find the GCF of 77498 and 77502?

We will first find the prime factorization of 77498 and 77502. After we will calculate the factors of 77498 and 77502 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 77502

Prime factors of 77502 are 2, 3, 12917. Prime factorization of 77502 in exponential form is:

77502 = 2¹ × 3¹ × 12917¹

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 77502

List of positive integer factors of 77502 that divides 77498 without a remainder.

1, 2, 3, 6, 12917, 25834, 38751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77498 and 77502. The biggest common factor number is the GCF number.
So the greatest common factor 77498 and 77502 is 2.

Also check out the Least Common Multiple of 77498 and 77502