What is the Greatest Common Factor of 67494 and 67498?

Greatest common factor (GCF) of 67494 and 67498 is 2.

GCF(67494,67498) = 2

We will now calculate the prime factors of 67494 and 67498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67494 and 67498.

How to find the GCF of 67494 and 67498?

We will first find the prime factorization of 67494 and 67498. After we will calculate the factors of 67494 and 67498 and find the biggest common factor number .

Step-1: Prime Factorization of 67494

Prime factors of 67494 are 2, 3, 7, 1607. Prime factorization of 67494 in exponential form is:

67494 = 2¹ × 3¹ × 7¹ × 1607¹

Step-2: Prime Factorization of 67498

Prime factors of 67498 are 2, 33749. Prime factorization of 67498 in exponential form is:

67498 = 2¹ × 33749¹

Step-3: Factors of 67494

List of positive integer factors of 67494 that divides 67494 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1607, 3214, 4821, 9642, 11249, 22498, 33747

Step-4: Factors of 67498

List of positive integer factors of 67498 that divides 67494 without a remainder.

1, 2, 33749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67494 and 67498. The biggest common factor number is the GCF number.
So the greatest common factor 67494 and 67498 is 2.

Also check out the Least Common Multiple of 67494 and 67498