What is the Greatest Common Factor of 79494 and 79504?

Greatest common factor (GCF) of 79494 and 79504 is 2.

GCF(79494,79504) = 2

We will now calculate the prime factors of 79494 and 79504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79494 and 79504.

How to find the GCF of 79494 and 79504?

We will first find the prime factorization of 79494 and 79504. After we will calculate the factors of 79494 and 79504 and find the biggest common factor number .

Step-1: Prime Factorization of 79494

Prime factors of 79494 are 2, 3, 13249. Prime factorization of 79494 in exponential form is:

79494 = 2¹ × 3¹ × 13249¹

Step-2: Prime Factorization of 79504

Prime factors of 79504 are 2, 4969. Prime factorization of 79504 in exponential form is:

79504 = 2⁴ × 4969¹

Step-3: Factors of 79494

List of positive integer factors of 79494 that divides 79494 without a remainder.

1, 2, 3, 6, 13249, 26498, 39747

Step-4: Factors of 79504

List of positive integer factors of 79504 that divides 79494 without a remainder.

1, 2, 4, 8, 16, 4969, 9938, 19876, 39752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79494 and 79504. The biggest common factor number is the GCF number.
So the greatest common factor 79494 and 79504 is 2.

Also check out the Least Common Multiple of 79494 and 79504